Sequences

Number of "sorted permutations": permutations that can occur as the output of the sorting procedure described by Knuth.

Number of Hamiltonian cycles in the directed graph with 2n nodes {0..2n-1} and edges from each i to 2i (mod 2n) and to 2i+1 (mod 2n).

Generalizing the 27 lines on a cubic surface: number of lines on the generic hypersurface of degree 2n-1 in complex projective (n+1)-space.

Coefficients of unique normalized cusp form Delta_16 of weight 16 for full modular group.

Coordination sequence T1 for Zeolite Code CGS.

Coordination sequence T2 for Zeolite Code CGS.

Coordination sequence T3 for Zeolite Code CGS.

Coordination sequence T4 for Zeolite Code CGS.

Coordination sequence T1 for Zeolite Code ITE.

Coordination sequence T2 for Zeolite Code ITE.

Coordination sequence T3 for Zeolite Code ITE.

Coordination sequence T4 for Zeolite Code ITE.

Coordination sequence T1 for Zeolite Code SAT.

Coordination sequence T2 for Zeolite Code SAT.

Number of aperiodic binary strings of length n; also number of binary sequences with primitive period n.

Number of ternary irreducible monic polynomials of degree n; dimensions of free Lie algebras.

Number of irreducible polynomials of degree n over GF(4); dimensions of free Lie algebras.

Expansion of (1+x^2-x^3)/(1-x)^4.

Expansion of (1+x^2-x^3)/(1-x)^3.

Number of irreducible polynomials of degree n over GF(8); dimensions of free Lie algebras.

Number of irreducible polynomials of degree n over GF(9); dimensions of free Lie algebras.

a(n) = n^4 - 6*n^3 + 12*n^2 - 4*n + 1.

a(2*n) = 3*2^n - 2; a(2*n+1) = 2^(n+2) - 2.

Number of distinct products i*j with 0 <= i, j <= n.

Number of primitive polynomials of degree n over GF(3).

Write digits for n, count endpoints (version 1).

Write digits for n, count endpoints (version 2).

Write digits for n, count endpoints (version 3).

Write decimal digits for n, count endpoints (version 4).

Number of labeled servers of dimension 3.

Number of labeled servers of dimension 4.

Number of labeled servers of dimension 5.

Number of labeled servers of dimension 6.

Number of labeled servers of dimension 7.

Number of labeled servers of dimension 8.

Number of labeled servers of dimension 9.

Number of labeled servers of dimension 10.

Number of labeled servers of dimension 11.

Number of labeled servers of dimension 12.

Number of labeled servers of dimension 13.

Number of labeled servers of dimension 14.

Number of labeled servers of dimension 15.

Number of labeled servers of dimension 16.

Number of labeled servers of dimension 17.

Number of labeled servers of dimension 18.

Number of labeled servers of dimension 19.

Number of labeled servers of dimension 20.

Number of labeled servers of dimension 21.

Number of labeled servers of dimension 22.

Number of labeled servers of dimension 23.