WXML Autumn 2016

Number Theory and Noise

OIES id description sound player
creator quarter
tags
comments
A000217 triangular numbers
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A000290 square numbers
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A000326 pentagonal numbers
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A000384 hexagonal numbers
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A000567 octagonal numbers
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A002144 primes of the form 4m+1
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A002145 primes of the form 4m+3
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A000959 lucky numbers
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A045954 even lucky
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A003309 Ludic numbers
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A040040 averages of twin prime pairs, divided by 2
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A277723 floor of n t^3, t = 1.839286755...
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A000201 floor of n phi, phi=(1+sqrt(5))/2
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A108587 floor of n/(1-sin(1))
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A050504 floor of n log n
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floor of n log n, base 10 log
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A248360 floor of 1/(1 - cos(Pi/n))
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A001614 Connell sequence: 1 odd, 2 even, 3 odd, ...
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A045928 generalized Connell sequence C_{3,2}
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A122793 Connell sum sequence (partial sums of the Connell sequence)
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A033293 A Connell-like sequence: take 1 number = 1 (mod Q), 2 numbers = 2 (mod Q), 3 numbers = 3 (mod Q), etc., where Q = 8
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A033291 A Connell-like sequence: take the first multiple of 1, the next 2 multiples of 2, the next 3 multiples of 3, etc.
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A006046 total number of odd numbers in the first n rows of Pascal's triangle
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A078177 composite n with integer prime factor average
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A070003 numbers divisible by the square of their largest prime factor
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A054010 numbers divisible by the number of their proper divisors
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A033950 numbers divisible by the number of their divisors
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A246294 numbers n such that sin(n) < sin(n+1) > sin(n+2)
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A277096 n such that sin(n)<0 and sin(n+2)<0
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A004084 tan n >0 and tan(n-1)<=0
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A070753 primes p such that sin(p) < 0
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A000059 n such that (2n)^4+1 is prime
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A256249 partial sums of the sequence of solutions to the Josephus problem
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A003325 sums of two positive cubes
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A024975 sums of three positive cubes
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A004431 sums of 2 distinct nonzero squares
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A002088 sums of totient function: Sum_{k=1..n} phi(k)
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A078972 brilliant numbers
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A006995 palindromes in base 2
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A014190 palindromes in base 3
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A014192 palindromes in base 4
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A077436 sums of binary digits of n and n^2 equal
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A028834 sum of digits is a prime
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A028839 sum of digits is a square
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A268620 sum of digits is a multiple of 4
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A005349 numbers divisible by their digit sum
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A039918 partial sums of the digits of pi
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A007091 numbers in base 5
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numbers which contain their digital root among their digits more than once
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A031443 base 2 digitally balanced numbers
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A072600 numbers which in base 2 have fewer zeros than ones among their digits
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