# Sound Library

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A077800 twin primes, starting at 1010 (long sound file) download Penny Espinoza Spr2017 primes
A077800 twin primes, starting at 1030 (long sound file) download Penny Espinoza Spr2017 primes
A077800 twin primes, starting at 10100 (long sound file) download Penny Espinoza Spr2017 primes
A005384 Sophie Germain primes p: 2p+1 is also prime. download Miranda Bugarin Spr2019 primes
A005101 Abundant numbers (sum of divisors of n exceeds 2n) download Nile Wymar Aut2017
A005101 Abundant numbers waveform built up from distinct subsequences. download Mrigank Arora Spr2019
A091191 Primitive abundant numbers: abundant numbers having no abundant proper divisor. download Mrigank Arora Spr2019
A005100 Deficient numbers: numbers n such that sigma(n) < 2n. download Nile Wymar Aut2017 comment
A000125 Cake numbers: maximal number of pieces resulting from n planar cuts through a cube (or cake): C(n+1,3)+n+1, i.e., (n^3 + 5*n + 6) / 6 download Sherry Chen Win2018 polynomial
A040040 averages of twin prime pairs, divided by 2 download Hannah Van Wyk Aut2016 primes
A100317 Numbers n such that exactly one of n-1 and n+1 is prime. download Aut2018
A277723 floor(n t^3), t = 1.839286755... download Hannah Van Wyk Aut2016 beatty
A003622 floor(n*phi^2) - 1, where phi = (1+sqrt(5))/2. download Pooja Ramathan Aut2018 beatty comment
A003511 floor( n * (1 + sqrt(3))/2 ) download Lisa Yan Aut2017 beatty
A001614 Connell sequence: 1 odd, 2 even, 3 odd, ... download Jesse Rivera Aut2016
A122793 Connell sum sequence (partial sums of the Connell sequence) download Jesse Rivera Aut2016
A033293 Connell-like sequence: take 1 number = 1 (mod Q), 2 numbers = 2 (mod Q), 3 numbers = 3 (mod Q), etc., where Q = 8 download Jesse Rivera Aut2016
A033291 Connell-like sequence: take the first multiple of 1, the next 2 multiples of 2, the next 3 multiples of 3, etc. download Jesse Rivera Aut2016
A006046 total number of odd numbers in the first n rows of Pascal's triangle download Jesse Rivera Aut2016
A078177 composite n with integer prime factor average download Jesse Rivera Aut2016
A070003 numbers divisible by the square of their largest prime factor download Hannah Van Wyk Aut2016
A054010 numbers divisible by the number of their proper divisors download Hannah Van Wyk Aut2016
A033950 numbers divisible by the number of their divisors download Hannah Van Wyk Aut2016
A246294 numbers n such that sin(n) < sin(n+1) > sin(n+2) download Hannah Van Wyk Aut2016
A070753 primes p such that sin(p) < 0 download Hannah Van Wyk Aut2016 primes
A256249 partial sums of the sequence of solutions to the Josephus problem download Jesse Rivera Aut2016
A006446 numbers n such that floor(sqrt(n)) divides n download Emily Flanagan Win2017
A023254 numbers that remain prime through 2 iterations of the function f(x) = 5x + 6 download Emily Flanagan Win2017 primes
A023255 numbers that remain prime through 2 iterations of the function f(x) = 5x + 8 download Emily Flanagan Win2017 primes
A023256 numbers that remain prime through 2 iterations of the function f(x) = 6x + 1 download Emily Flanagan Win2017 primes
A023257 numbers that remain prime through 2 iterations of the function f(x) = 6x + 5 download Emily Flanagan Win2017 primes
A023258 numbers that remain prime through 2 iterations of the function f(x) = 6x + 7 download Emily Flanagan Win2017 primes
A259486 3n^2 - 3n + 1 + 6 floor((n-1)(n-2)/6) download Emily Flanagan Win2017
A268037 numbers n such that the number of divisors of n+2 divides n and the number of divisors of n divides n+2 download Emily Flanagan Win2017
A002473 numbers whose prime divisors are all <= 7 download Jesse Rivera Win2017
A003136 numbers of the form x^2 + xy + y^2 download Jesse Rivera Win2017
A006218 sum of the number of divisors of k, k=1,...,n download Jesse Rivera Win2017
A011257 geometric mean of phi(n) and sigma(n) is an integer download Jesse Rivera Win2017
A036844 numbers divisible by the sum of their prime factors download Jesse Rivera Win2017
A051038 11-smooth numbers: numbers whose primes divisors are all <= 11 download Jesse Rivera Win2017
A051913 numbers n such that phi(n)/phi(phi(n)) = 3 download Jesse Rivera Win2017
A080683 numbers whose prime divisors are all <= 23 download Jesse Rivera Win2017
A165350 primes p such that floor((p^2-1)/4)+p is not prime download Jesse Rivera Win2017 primes
A190751 n+[ns/r]+[nt/r]+[nu/r]+[nv/r]+[nw/r], where r=sinh(x), s=cosh(x), t=tanh(x), u=csch(x), v=sech(x), w=coth(x), where x=pi/2 download Jesse Rivera Win2017
A252895 numbers with an odd number of square divisors download Jesse Rivera Win2017
A274685 odd numbers n such that sigma(n) is divisible by 5 download Jesse Rivera Win2017
A250046 numbers n such that m = floor(n/7) is coprime to n and, if nonzero, m is also a term of the sequence download Penny Espinoza Win2017
A250046 numbers n such that m = floor(n/7) is coprime to n and, if nonzero, m is also a term of the sequence (longer version) download Penny Espinoza Win2017
A250048 numbers n such that m = floor(n/6) is coprime to n and, if nonzero, m is also a term of the sequence download Penny Espinoza Win2017
A250050 numbers n such that m = floor(n/5) is coprime to n and, if nonzero, m is also a term of the sequence download Penny Espinoza Win2017
A250036 numbers n such that m = floor(n/4) is coprime to n and, if nonzero, m is also a term of the sequence download Penny Espinoza Win2017
A250038 numbers n such that m = floor(n/16) is coprime to n and, if nonzero, m is also a term of the sequence download Penny Espinoza Win2017
A250040 numbers n such that m = floor(n/10) is coprime to n and, if nonzero, m is also a term of the sequence download Penny Espinoza Win2017
A250042 numbers n such that m = floor(n/9) is coprime to n and, if nonzero, m is also a term of the sequence download Penny Espinoza Win2017
A250044 numbers n such that m = floor(n/8) is coprime to n and, if nonzero, m is also a term of the sequence download Penny Espinoza Win2017
A161165 the n-th twin prime plus the n-th isolated prime download Penny Espinoza Win2017 primes
A166251 isolated primes: primes p such that there is no other prime in the interval [2 prevprime(p/2), 2 nextprime(p/2)] download Penny Espinoza Win2017 primes
A167706 single or isolated numbers: the union of single (or isolated or non-twin) primes and single (or isolated or average of twin prime pairs) nonprimes download Penny Espinoza Win2017 primes
A167771 Twice-isolated primes: primes p such that neither p+-2 nor p+-4 is prime download Penny Espinoza Win2017 primes
A065049 Odd primes of incorrect parity: number of 1's in the binary representation of n (mod 2) equals 1 - (n mod 3) (mod 2). Also called isolated primes. download Penny Espinoza Win2017 primes
A147778 positive integers of the form u*v*(u^2-v^2) where u,v are co-prime integers download Penny Espinoza Win2017
A153777 minimal sequence S such that 1 is in S and if x is in S, then 5x-1 and 5x+1 are in S download Penny Espinoza Win2017
A153777 minimal sequence S such that 1 is in S and if x is in S, then 5x-1 and 5x+1 are in S (10 minute version: silence after 4:36) download Penny Espinoza Win2017
A003586 3-smooth numbers: numbers of the form 2^i 3^j with i, j >= 0 download Penny Espinoza Win2017
A033845 numbers of the form 2^i 3^j, with i,j >= 1 download Penny Espinoza Win2017
A052160 isolated prime difference equals 6: d(n)=p(n+1)-p(n)=6 but d(n+1) and d(n-1) differ from 6 download Penny Espinoza Win2017 primes
A007510 single, isolated or non-twin primes: primes p such that neither p-2 nor p+2 is prime download Penny Espinoza Win2017 primes
A181732 numbers n such that 90n + 1 is prime download Penny Espinoza Win2017
A196000 numbers n such that 90n + 19 is prime download Penny Espinoza Win2017
A198382 numbers n such that 90n + 37 is prime download Penny Espinoza Win2017
A201734 numbers n such that 90n + 47 is prime download Penny Espinoza Win2017
A195993 numbers n such that 90n + 73 is prime download Penny Espinoza Win2017
A196007 numbers n such that 90n + 83 is prime download Penny Espinoza Win2017
A006450 prime-indexed primes: primes with prime subscripts download Penny Espinoza Win2017 primes
A184775 numbers n such that floor(n*sqrt(2)) is prime download Emily Flanagan Spr2017
A184777 primes of the form 2k + floor(k*sqrt(2)) download Emily Flanagan Spr2017 primes
A184778 numbers n such that 2n+floor(n*sqrt(2)) is prime download Emily Flanagan Spr2017
A002984 a(0) = 1; for n>0, a(n) = a(n-1) + floor( sqrt a(n-1) ) download Emily Flanagan Spr2017
A158708 primes p such that p + floor(p/2) is prime download Emily Flanagan Spr2017 primes
A158709 primes p such that p + ceiling(p/2) is prime download Emily Flanagan Spr2017 primes
A175914 primes p such that p+2*q is prime, where q is the prime after p download Emily Flanagan Spr2017 primes
A003154 centered 12-gonal numbers (also star numbers: 6*n*(n-1) + 1). download Emily Flanagan Spr2017
A014657 numbers n that divide 2^k + 1 for some k download Emily Flanagan Spr2017
A032528 concentric hexagonal numbers: floor( 3*n^2 / 2 ) download Emily Flanagan Spr2017
A035336 a(n) = 2*floor(n*phi) + n - 1, where phi = (1+sqrt(5))/2 download Emily Flanagan Spr2017
A072065 numbers of the form 12n+k, where k=0, 2, 9, or 11 download Penny Espinoza Spr2017
A000068 Numbers n such that n^4 + 1 is prime. download Nile Wymar Aut2017
A001043 Numbers that are the sum of 2 successive primes download Nile Wymar Aut2017
A007066 a(n) = 1 + ceiling((n-1)*phi^2), phi = (1+sqrt(5))/2. download Nile Wymar Aut2017
A007645 Generalized cuban primes: primes of the form x^2 + xy + y^2; or primes of the form x^2 + 3*y^2; or primes == 0 or 1 mod 3. download Nile Wymar Aut2017 primes
A027699 Evil primes: primes with even number of 1's in their binary expansion. download Jingyun Du Aut2019
A000069 odious numbers: numbers with an odd number of 1's in their binary expansion download Emily Flanagan Win2017
A000099 Let A(n) = #{(i,j): i^2 + j^2 <= n}, V(n) = Pi*n, P(n) = A(n) - V(n); sequence gives values of n where |P(n)| sets a new record. download Sherry Chen Win2018
A000123 Number of binary partitions: number of partitions of 2n into powers of 2. download Sherry Chen Win2018
A034048 Numbers with multiplicative digital root = 0. download Sherry Chen Win2018
A277061 Numbers with multiplicative digital root > 0. download Sherry Chen Win2018
A000977 Numbers that are divisible by at least three different primes. download Robert Pedersen Win2018
A002971 Numbers k such that 4*k^2 + 25 is prime. download Robert Pedersen Win2018
A005574 Numbers k such that k^2 + 1 is prime. download Robert Pedersen Win2018
A007064 Numbers not of form "nearest integer to n*tau", tau=(1+sqrt(5))/2. download Robert Pedersen Win2018
A001913 Full reptend primes: primes with primitive root 10. download Joo Young "Jon" Kim Spr2018 primes
A023204 Numbers m such that m and 2*m + 3 are both prime. download Joshua Ramirez Spr2018 primes
A039770 Numbers n such that phi(n) is a perfect square. download Joshua Ramirez Spr2018
A006532 Numbers n such that sum of divisors of n is a square. download Joshua Ramirez Spr2018
A276967 Odd integers n such that 2^n == 2^3 (mod n). download Joshua Ramirez Spr2018
A003624 Duffinian numbers: n composite and relatively prime to sigma(n). download Joshua Ramirez Spr2018
A015765 Numbers n such that phi(n) | sigma_7(n). download Joshua Ramirez Spr2018
A005835 Pseudoperfect (or semiperfect) numbers n: some subset of the proper divisors of n sums to n. download Joshua Ramirez Spr2018
A007675 Numbers n such that n, n+1 and n+2 are squarefree. download Joshua Ramirez Spr2018
A152088 Positive integers n that when written in binary have exactly the same number of (non-leading) 0's as the number of divisors of n. download Joshua Ramirez Spr2018
A023172 Self-Fibonacci numbers: numbers n such that n divides Fibonacci(n). download Joshua Ramirez Spr2018
A001837 Numbers n such that phi(2n+1) < phi(2n). download Joshua Ramirez Spr2018
A002061 Central polygonal numbers: a(n) = n^2 - n + 1. download Erik Huang Aut2018
A002808 The composite numbers: numbers n of the form x*y for x > 1 and y > 1. download Erik Huang Aut2018
A006995 Binary palindromes: numbers whose binary expansion is palindromic. download Erik Huang Aut2018
A018252 The nonprime numbers (1 together with the composite numbers). download Erik Huang Aut2018
A029803 Numbers that are palindromic in base 8. download Erik Huang Aut2018
A107961 products of two primes which are not congruent to 3 modulo 4 download Aut2019
A000469 1 together with products of 2 or more distinct primes download Nile Wymar Aut2017
A007304 Sphenic numbers: products of 3 distinct primes. download Robert Pedersen Win2018
A030059 Numbers that are the product of an odd number of distinct primes download Nile Wymar Aut2017
A005728 Number of fractions in Farey series of order n. download Pooja Ramathan Aut2018
A112393 Semiprimes n such that 3*n - 2 is a square. download Pooja Ramathan Aut2018
A277093 Numbers k such that sin(k) > 0 and sin(k+2) > 0. download Pooja Ramathan Aut2018
Approximation of A277093 based on difference pattern [6,6,6,7,6,6,6,1] download Pooja Ramathan Aut2018
Approximation of A277093 based on difference pattern [6,6,6,7,6,6,6,1,6,6,6,7,6,6,6,1,6, 6,6,7,6,6,6,1,6,6,6,7,6,6,6,1,6,6, 6,7,6,6,6,1,6,6,6,7,6,6,6,1,6,6,6, 7,6,6,6,1,6,6,6,7] download Pooja Ramathan Aut2018
A277094 Numbers k such that sin(k) > 0 and sin(k+2) < 0. download Pooja Ramathan Aut2018
A277095 Numbers k such that sin(k) < 0 and sin(k+2) > 0. download Pooja Ramathan Aut2018
A192869 Thin primes: odd primes p such that p+1 is a prime (or 1) times a power of two. download Mrigank Arora Spr2019 primes
A003234 Numbers n such that A003231(A001950(n)) = A001950(A003231(n)) - 1. download Miranda Bugarin Spr2019
A007640 Numbers k such that 2*k^2 - 2*k + 19 is composite. download Miranda Bugarin Spr2019
A155107 Numbers n that are 23 or 30 (mod 53). download Miranda Bugarin Spr2019

A000404 Numbers that are the sum of 2 nonzero squares. download Aanya Khaira Spr2019
A000443 Numbers that are the sum of 2 squares in exactly 3 ways. download Aanya Khaira Spr2019
A025284 Numbers that are the sum of 2 nonzero squares in exactly 1 way. download Aanya Khaira Spr2019
A025285 Numbers that are the sum of 2 nonzero squares in exactly 2 ways. download Aanya Khaira Spr2019
A025286 Numbers that are the sum of 2 nonzero squares in exactly 3 ways. download Aanya Khaira Spr2019
A025287 Numbers that are the sum of 2 nonzero squares in exactly 4 ways. download Aanya Khaira Spr2019
A000408 Numbers that are the sum of three nonzero squares. download Aanya Khaira Spr2019
Numbers that are the sum of 3 nonzero squares in exactly n ways where n is increasing geometrically by doubling every 2.2 seconds. download Aanya Khaira Spr2019
A025324 Numbers that are the sum of 3 nonzero squares in exactly 4 ways download Aanya Khaira Spr2019
A025325 Numbers that are the sum of 3 nonzero squares in exactly 5 ways download Aanya Khaira Spr2019
A025326 Numbers that are the sum of 3 nonzero squares in exactly 6 ways download Aanya Khaira Spr2019
A025327 Numbers that are the sum of 3 nonzero squares in exactly 7 ways download Aanya Khaira Spr2019
A025328 Numbers that are the sum of 3 nonzero squares in exactly 8 ways download Aanya Khaira Spr2019
A025329 Numbers that are the sum of 3 nonzero squares in exactly 9 ways download Aanya Khaira Spr2019
A025330 Numbers that are the sum of 3 nonzero squares in exactly 10 ways download Aanya Khaira Spr2019
A225771 Numbers that are positive integer divisors of 1 + 2*x^2 where x is a positive integer download Jin Lin Aut2019
A000379 Numbers n where total number of 1-bits in the exponents of their prime factorization is even; a 2-way classification of integers: download Jin Lin Aut2019
A000328 Number of points of norm <= n^2 in square lattice. download Jin Lin Aut2019
A164620 Primes p such that 1 +p*floor(p/2) is also prime. download Pubo Huang Aut2019 primes
A164624 Primes p such that p+floor(p/2)+floor(p/3) is prime. download Pubo Huang Aut2019 primes comment
A164625 Primes p such that p+floor(p/2)+floor(p/3)+floor(p/5) is prime. download Pubo Huang Aut2019 primes
A046959 Numbers n where sin(n) increases monotonically to 1. download Pubo Huang Aut2019
A000452 The greedy sequence of integers which avoids 3-term geometric progressions. download Sam Wang Aut2019
A000549 Numbers that are the sum of 2 squares but not sum of 3 nonzero squares. download Sam Wang Aut2019
A000966 n! never ends in this many 0's. download Sam Wang Aut2019
A001101 Moran numbers: n such that (n / sum of digits of n) is prime. download Sam Wang Aut2019
A001123 Primes with 3 as smallest primitive root. download Sam Wang Aut2019
A007624 Product of proper divisors of n = n^k, k>1. download Sam Wang Aut2019
A007634 Numbers n such that n^2 + n + 41 is composite. download Sam Wang Aut2019
A007638 Numbers k such that 3*k^2 - 3*k + 23 is composite. download Sam Wang Aut2019
A007692 Numbers that are the sum of 2 nonzero squares in 2 or more ways. download Sam Wang Aut2019
A007774 Numbers that are divisible by exactly 2 different primes. download Sam Wang Aut2019
A003277 Cyclic numbers: n such that n and phi(n) are relatively prime; download Sam Wang Aut2019
A003159 Numbers n whose binary representation ends in an even number of zeros. download Sam Wang Aut2019
A002035 Numbers that contain primes to odd powers only. download Sam Wang Aut2019 primes
A001958 approximation: difference sequence is 5, 4, 4, 4, 5, 4, 4, 5, 4, 4, then repeats. download Sam Wang Aut2019
A088485 Numbers n such that n^2 + n - 1 and n^2 + n + 1 are twin primes. download Jingyun Du Aut2019
A111980 Union of pairs of consecutive primes p, q with q-p = 4. download Jingyun Du Aut2019
A000037 Numbers that are not squares (or, the nonsquares). download Ally Krinsky Win2020
A002328 Numbers n such that n^2-n-1 is prime. download Ally Krinsky Win2020
A002642 Numbers n such that (n^2+n+1)/3 is prime. download Ally Krinsky Win2020
A002643 Numbers n such that (n^2+n+1)/19 is prime. download Ally Krinsky Win2020
A002644 Numbers n such that (n^2+n+1)/21 is prime. download Ally Krinsky Win2020
A002731 Numbers n such that (n^2+1)/2 is prime. download Ally Krinsky Win2020
A002733 Numbers n such that (n^2 + 1)/10 is prime. download Ally Krinsky Win2020
A002970 Numbers n such that 4*n^2 + 9 is prime. download Ally Krinsky Win2020
A004083 Numbers n such that cos(n-1) <= 0 and cos(n) > 0. download Ally Krinsky Win2020
A002640 Numbers n such that (n^2 + n + 1)/3 is prime. download Ally Krinsky Win2020
A002641 Numbers n such that (n^2 + n + 1)/7 is prime. download Ally Krinsky Win2020
A002642 Numbers n such that (n^2 + n + 1)/7 is prime. download Ally Krinsky Win2020
A002643 Numbers n such that (n^2 + n + 1)/7 is prime. download Ally Krinsky Win2020
A004614 Numbers that are divisible only by primes congruent to 3 mod 4. download Ally Krinsky Win2020
A007519 Primes congruent to 1 mod 8. download Ally Krinsky Win2020 primes
A007520 Primes congruent to 3 mod 8. download Ally Krinsky Win2020 primes
A007521 Primes congruent to 5 mod 8. download Ally Krinsky Win2020 primes
A001000 a(n) = least m such that if a/b < c/d where a,b,c,d are integers in [0,n], then a/b < k/m < c/d for some integer k. download Thien Do Win2020
A001915 Primes p such that the congruence 2^x = 3 (mod p) is solvable. download Thien Do Win2020 primes
A002970 Numbers n such that 4*n^2 + 9 is prime. download Thien Do Win2020
A100317 Numbers k such that exactly one of k - 1 and k + 1 is prime. download Thien Do Win2020
A006532 Numbers n such that sum of divisors of n is a square. download Thien Do Win2020
A014580 Binary irreducible polynomials (primes in the ring GF(2)[X]), evaluated at X=2. download Thien Do Win2020
A015782 Phi(n) + 3 divides sigma(n + 3). download Thien Do Win2020
A077436 sums of binary digits of n and n^2 are equal download Hannah Van Wyk Aut2016 digits
A006753 Smith numbers: composite numbers n such that sum of digits of n = sum of digits of prime factors of n (counted with multiplicity). download Erik Huang Aut2018 digits comment
A028834 sum of digits is a prime download Hannah Van Wyk Aut2016 digits
A028839 sum of digits is a square download Hannah Van Wyk Aut2016 digits
A268620 sum of digits is a multiple of 4 download Hannah Van Wyk Aut2016 digits
A005349 numbers divisible by their digit sum download Jesse Rivera Aut2016 digits
A057531 Numbers n such that sum of digits of n equals the numbers of divisors of n. download Joshua Ramirez Spr2018 digits
A028838 Sum of digits of n is a power of 2 download Nile Wymar Aut2017 digits
A028840 Sum of digits of n is a Fibonacci number download Nile Wymar Aut2017 digits
A018900 Sum of digits in base 2 is 2 download Penny Espinoza Win2017 digits
A226636 Sum of digits in base 3 is 3 download Penny Espinoza Win2017 digits
A226969 Sum of digits in base 4 is 4 download Penny Espinoza Win2017 digits
A227062 Sum of digits in base 5 is 5 download Penny Espinoza Win2017 digits
A227080 Sum of digits in base 6 is 6 download Penny Espinoza Win2017 digits
A227092 Sum of digits in base 7 is 7 download Penny Espinoza Win2017 digits
A227095 Sum of digits in base 8 is 8 download Penny Espinoza Win2017 digits
A227238 Sum of digits in base 9 is 9 download Penny Espinoza Win2017 digits
A052224 Sum of digits in base 10 is 10 download Penny Espinoza Win2017 digits
A061910 Numbers n sum of digits of n^2 is a square download Nile Wymar Aut2017 digits
Base 2 version of A61910: n such that sum of binary digits of n^2 is square download Nile Wymar Aut2017 digits
A237525 Numbers n such that the sum of digits of n^3 is a cube download Nile Wymar Aut2017 digits
A084561 Sum of binary digits is a square download Nile Wymar Aut2017 digits
A001969 Sum of binary digits is even (Evil numbers) download Nile Wymar Aut2017 digits
n such that the sum of digits of n^3 is one more than a cube download Nile Wymar Win2018 digits
n such that the digit sum of n^4 is a fourth power download Nile Wymar Win2018 digits
n such that the digit sum of n^2 is 28 download Pubo Huang Aut2019 digits
n such that the digit sum of n^2 is 31 download Pubo Huang Aut2019 digits
n such that the digit sum of n^2 is 54 download Nile Wymar Win2018 digits
n such that the digit sum of n^2 is 54 (extra long version: to 107) download Sum2021 digits
n such that the digit sum of n^2 is 72 download Pubo Huang Aut2019 digits
n such that sum of digits of n^3 equals 80 download Nile Wymar Win2018 digits
n such that sum of digits of n^4 equals 99 download Nile Wymar Win2018 digits
A004207 a(0) = 1, a(n) = sum of digits of all previous terms download Nile Wymar Win2018 digits
A254621 Zerofree numbers having product of digits less than or equal to sum of digits download Sherry Chen Win2018 digits
A062996 Sum of digits is greater than or equal to product of digits. download Sherry Chen Win2018 digits
numbers which contain their digital root among their digits more than once download Jesse Rivera Aut2016 digits
A031443 base 2 digitally balanced numbers download Hannah Van Wyk Aut2016 digits
A072600 numbers which in base 2 have fewer zeros than ones among their digits download Hannah Van Wyk Aut2016 digits
A093083 Partial sums of digits of decimal expansion of golden ratio, phi. download Pubo Huang Aut2019 digits
Partial sums of digits of randomly-generated decimal expansion. download Pubo Huang Aut2019 digits
A000788 Total number of 1's in binary expansions of 0, ..., n. download Jin Lin Aut2019 digits
A054632 Partial sums of the sequence of digits of the natural numbers: 1,2,3,..,9,1,0,1,1,1,2,1,3,1,4,... download Jin Lin Aut2019 digits
A067112 Partial sums of the sequence of digits of the primes (2,3,5,7,1,1,1,3,...) download Jin Lin Aut2019 digits
A067113 Partial sums of the sequence of digits of the squares (1,4,9,1,6,2,5,...) download Jin Lin Aut2019 digits
Partial sums of the sequence of digits of n^3 download Jin Lin Aut2019 digits
Partial sums of the sequence of digits of n^4 download Jin Lin Aut2019 digits
Partial sums of the sequence of digits of n^5 download Jin Lin Aut2019 digits
Partial sums of the sequence of digits of n^n download Jin Lin Aut2019 digits
A039918 Partial sums of the decimal digits of pi download Jesse Rivera Aut2016 digits
A099534 Partial sums of the digits in decimal expansion of e download Jin Lin Aut2019 digits
A099539 Partial sums of the digits in decimal expansion of sqrt(2) download Jin Lin Aut2019 digits
Partial sums of digits in decimal expansion of 2^sqrt(2) download Jin Lin Aut2019 digits
Partial sums of the digits in decimal expansion of sqrt(3) download Jin Lin Aut2019 digits
A055471 Divisible by the product of its nonzero digits. download Miranda Bugarin Spr2019 digits
A071204 Numbers which are multiples of their largest decimal digit. download Miranda Bugarin Spr2019 digits
A052382 Numbers without 0 as a base 10 digit, a.k.a. zeroless numbers. download Miranda Bugarin Spr2019 digits
A082943 Numbers without zero digits that are not divisible by any of their digits nor by the sum of their digits. download Miranda Bugarin Spr2019 digits
A031956 Numbers in which the number of distinct base 4 digits is 3. download Miranda Bugarin Spr2019 digits
A031957 Numbers in which the number of distinct base 5 digits is 3. download Miranda Bugarin Spr2019 digits
A031958 Numbers in which the number of distinct base 6 digits is 3. download Miranda Bugarin Spr2019 digits
A031959 Numbers in which the number of distinct base 7 digits is 3. download Miranda Bugarin Spr2019 digits
A031960 Numbers in which the number of distinct base 8 digits is 3. download Miranda Bugarin Spr2019 digits
A031961 Numbers in which the number of distinct base 9 digits is 3. download Miranda Bugarin Spr2019 digits
A031962 Numbers with exactly two distinct base 10 digits. download Miranda Bugarin Spr2019 digits
A031955 Numbers with exactly two distinct base 10 digits. download Miranda Bugarin Spr2019 digits
A101594 Numbers with exactly two distinct decimal digits, neither of which is 0. download Miranda Bugarin Spr2019 digits
A028374 Curved numbers: numbers that only have curved digits (0,2,3,5,6,8,9) download Mrigank Arora Spr2019 digits
A034470 Prime numbers using only the curved digits (0,2,3,5,6,8,9) download Mrigank Arora Spr2019 digits
A242756 Semiprimes having only the curved digits. download Pooja Ramathan Aut2018 digits
A028846 Numbers n such that the product of the digits of n is a power of 2. download Aut2019 digits
A276038 Numbers n such that the product of the digits of n is a power of 6. download Aut2019 digits
A227510 Numbers such that product of digits of n is positive and a substring of n. download Sherry Chen Win2018 digits
A236402 Numbers with property that the sum of any pair of adjacent digits is a substring of the number. download Sherry Chen Win2018 digits
A236402 Numbers with property that the sum of any pair of adjacent digits is a substring of the number (sequence starting from 21!) download Sherry Chen Spr2018 digits
A014261 Numbers that contain odd digits only. download Sherry Chen Spr2018 digits
A059708 Numbers n such that all digits have same parity. download Sherry Chen Spr2018 digits
A267085 Numbers such that the number formed by digits in even position divides, or is divisible by, the number formed by the digits in odd position; both must be nonzero. download Sherry Chen Spr2018 digits
A267086 Numbers such that the number formed by digits in even positions divides, or is divisible by, the number formed by the digits in odd positions; zero allowed. (terms up to 5x106) download Sherry Chen Spr2018 digits
A267086 Numbers such that the number formed by digits in even positions divides, or is divisible by, the number formed by the digits in odd positions; zero allowed. (terms between 1010 and 1010+5x106 ) download Sherry Chen Spr2018 digits
A007602 Numbers that are divisible by the product of their digits. download Joshua Ramirez Spr2018 digits
A110806 Numbers n such that sum of the digits as well as number of digits divides n. download Joshua Ramirez Spr2018 digits
A036301 Numbers n such that sum of even digits of n equals sum of odd digits of n. download digits comment
A007770 Happy numbers: numbers whose trajectory under iteration of sum of squares of digits map includes 1. download Erik Huang Aut2018 digits comment
A014486 List of totally balanced sequences of 2n binary digits written in base 10. Binary expansion of each term contains n 0's and n 1's and reading from left to right (the most significant to the least significant bit), the number of 0's never exceeds the number of 1's. download Erik Huang Aut2018 digits
A072543 Numbers whose largest decimal digit is also the initial digit (to 107) download Erik Huang Aut2018 digits
A153880 Shift factorial base representation left by one digit (to 4 million) download Erik Huang Aut2018 digits
A243615 Numbers n whose digital sum equals the number of binary digits in its binary expansion. download Erik Huang Aut2018 digits
A243617 Numbers n whose sum of digits equals the number of bits in its binary expansion. No zeros allowed in the digital expansion. download Erik Huang Aut2018 digits