Sequences

Number of polygonal graphs.

a(n) = n^5 + 1.

Number of ways of placing n nonattacking queens on n X n board (symmetric solutions count only once).

Number of nonisomorphic solutions to minimal dominating set on queens' graph Q(n).

Number of different ways one can attack all squares on an n X n chessboard using the minimum number of queens.

Number of non-isomorphic ways to attack all squares on an n X n chessboard using the smallest possible number of queens with each queen attacking at least one other.

Number of ways to attack all squares on an n X n chessboard using the smallest possible number of queens with each queen attacking at least one other.

Number of nonisomorphic solutions to minimal independent dominating set on queens' graph Q(n).

Number of different ways one can attack all squares on an n X n chessboard with the smallest number of non-attacking queens needed.

Max_{k=0..n} { Number of partitions of n into exactly k parts }.

From a definite integral.

From a definite integral.

Number of partitions of 1 into n powers of 1/2; or (according to one definition of "binary") the number of binary rooted trees.

Restricted partitions.

Restricted partitions.

Coefficients of Bell's formula for making change.

Coefficients of Bell's formula for making change.

Number of partitions of 2^n into powers of 2.

Number of integral points in a certain sequence of open quadrilaterals.

Number of integral points in a certain sequence of closed quadrilaterals.

Decimal expansion of cube root of 2.

Decimal expansion of cube root of 3.

Largest prime factor of n! - 1.

Largest prime factor of n! + 1.

Largest prime factor of product of first n primes - 1, or 1 if no such prime exists.

Largest prime factor of 1 + (product of first n primes).

Smallest prime factor of 2^n + 1.

Largest prime factor of 2^n + 1.

a(n) = largest noncomposite factor of 2^(2n+1) - 1.

Largest primitive factor of 2^(2n+1) + 1.

Largest prime factor of 16^n + 1.

Largest prime factor of 3^(2n+1) - 1.

Largest prime factor of 9^n + 1.

a(n) = n^2*(2*n^2 - 1); also Sum_{k=0..n-1} (2k+1)^3.

a(n) = n^2*(16*n^4-20*n^2+7)/3.

Denominators of Taylor series expansion of arcsin(x). Also arises from arccos(x), arccsc(x), arcsec(x), arcsinh(x).

Numerators in expansion of sqrt(1+x). Absolute values give numerators in expansion of sqrt(1-x).

Number of partitions into one kind of 1's, two kinds of 2's, and three kinds of 3's.

A generalized partition function.

A generalized partition function.

A generalized partition function.

A generalized partition function.

A generalized partition function.

A generalized partition function.

a(n) = n^6 + 1.

a(n) = 2*(a(n-1) + a(n-2)), a(0) = 0, a(1) = 1.

Weight distribution of Karlin's [28,14,8] double circulant code.

Glaisher's chi_8(n).

Glaisher's function T(2n+1).

Glaisher's function G(n) (18 squares version).