Sequences

Numerators in expansion of a certain Dirichlet series.

Smallest even index 2a such that n-th irregular prime p (A000928(n)) divides Bernoulli_{2a} with 0<=2a<=p-3.

Numbers != 2 (mod 4) listed in order of increasing totient function phi (A000010).

Values of phi(n) corresponding to A035113.

Relative class number h- of cyclotomic field Q(zeta_m) where m is n-th term of A035113.

a(n) = tau(n)^2, where tau(n) = A000005(n).

a(n) is the starting position of the first occurrence of a string of at least n 1's in the decimal expansion of Pi.

Fourier coefficients of (normalized Delta)^3.

Related to A045720 and A035101.

Discriminants of real quadratic number fields with class number >= 2.

Numbers of the form x^2+82*y^2.

Roots of 'squares remaining square when written backwards'.

Roots of 'non-palindromic squares remaining square when written backwards'.

Nonpalindromic cubes remaining cubic which written backwards: take the cube root of n, reverse its digits, cube that and the result is n with its digits reversed.

Roots of 'non-palindromic cubes remaining cubic when written backwards'.

Squares when digits rotated right once remain square.

Squares which when digits are rotated left once remain square.

Rotating digits of a(n)^3 right once still yields a cube.

Rotating digits of a(n)^3 left once still yields a cube.

Cubes when digits rotated right once remain cubic.

Cubes that when digits rotated left once remain cubic.

Nonsquarefree palindromes.

Cubeful (i.e., not cubefree) palindromes.

Squarefree composite palindromes.

Cubefree composite palindromes.

Decimal part of a(n)^(1/n) starts with a 'nine digits' anagram.

Numbers that are not the sum of 2 palindromes (where 0 is considered a palindrome).

Integers that are equal to the sum of ascending numbers raised to their digits powers.

Digits of prime factors of k do not appear in k.

Digits of juxtaposition of prime factors of composite n appear also in n.

Composite numbers k such that digits in k and in juxtaposition of prime factors of k are the same (apart from multiplicity).

Numbers k with property that number of partitions-into-distinct-parts of k is a perfect square.

Coefficients in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^(-s)+Kronecker(m,p)*p^(-2s))^(-1) for m = -47.

Coefficients in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^(-s)+Kronecker(m,p)*p^(-2s))^(-1) for m = -46.

Coefficients in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^(-s)+Kronecker(m,p)*p^(-2s))^(-1) for m = -45.

Coefficients in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^(-s)+Kronecker(m,p)*p^(-2s))^(-1) for m = -44.

Coefficients in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^(-s) + Kronecker(m,p)*p^(-2s))^(-1) for m = -43.

Coefficients in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^(-s)+Kronecker(m,p)*p^(-2s))^(-1) for m = -42.

Coefficients in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^(-s)+Kronecker(m,p)*p^(-2s))^(-1) for m = -41.

Fourier coefficients of (normalized Delta)^4.

Coefficients in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^(-s)+Kronecker(m,p)*p^(-2s))^(-1) for m = -39.

Coefficients in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^(-s)+Kronecker(m,p)*p^(-2s))^(-1) for m = -38.

Coefficients in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^(-s)+Kronecker(m,p)*p^(-2s))^(-1) for m = -37.

a(n) = Sum_{d|n} Kronecker(-36, d).

Coefficients in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^(-s)+Kronecker(m,p)*p^(-2s))^(-1) for m = -35.

Coefficients in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^(-s)+Kronecker(m,p)*p^(-2s))^(-1) for m = -34.

Coefficients in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^(-s)+Kronecker(m,p)*p^(-2s))^(-1) for m = -33.

Floor of the Chebyshev function theta(n): a(n) = floor(Sum_{primes p <= n } log(p)).

Coefficients in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^(-s)+Kronecker(m,p)*p^(-2s))^(-1) for m = -31.

Coefficients in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^(-s)+Kronecker(m,p)*p^(-2s))^(-1) for m = -30.