Sequences

a(n) = sigma_13(n), the sum of the 13th powers of the divisors of n.

a(n) = sigma_14(n), the sum of the 14th powers of the divisors of n.

a(n) = sigma_15(n), the sum of the 15th powers of the divisors of n.

a(n) = sigma_16(n), the sum of the 16th powers of the divisors of n.

a(n) = sigma_17(n), the sum of the 17th powers of the divisors of n.

a(n) = sigma_18(n), the sum of the 18th powers of the divisors of n.

a(n) = sigma_19(n), the sum of the 19th powers of the divisors of n.

a(n) = sigma_20(n), the sum of the 20th powers of the divisors of n.

a(n) = sigma_21(n), the sum of the 21st powers of the divisors of n.

a(n) = sigma_22(n), the sum of the 22nd powers of the divisors of n.

a(n) = sigma_23(n), the sum of the 23rd powers of the divisors of n.

a(n) = sigma_24(n), the sum of the 24th powers of the divisors of n.

Expansion of Eisenstein series E_6(q) (alternate convention E_3(q)).

Eisenstein series E_10(q) (alternate convention E_5(q)).

Modular form of level 4 and weight 1/2.

Number of tournaments on n nodes with a unique winner.

Molien series of 4-dimensional representation of u.g.g.r. #9.

Molien series of 4-dimensional representation of u.g.g.r. #8.

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

Number of commutative elements in Coxeter group F_n.

Number of commutative elements in Coxeter group H_n.

Expansion of 1/(1-x^2-x^3-x^4-x^5).

Expansion of 1/(1-x^2-x^3-x^4-x^5-x^6).

Expansion of 1/(1-x^2-x^3-x^4-x^5-x^6-x^7).

Expansion of 1/(1-x^2-x^3-x^4-x^5-x^6-x^7-x^8).

Expansion of 1/(1-x^2-x^3-x^4-x^5-x^6-x^7-x^8-x^9).

Expansion of 1/(1-x^2-x^3-x^4-x^5-x^6-x^7-x^8-x^9-x^10).

Triangle read by rows, the inverse Bell transform of n!*binomial(5,n) (without column 0).

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

Number of edge-disjoint paths between opposite corners of n X n grid.

Number of edge-disjoint paths between opposite corners of a 2 X n grid.

Number of edge-disjoint paths between opposite corners of 3 X n grid.

Number of edge-disjoint paths between opposite corners of 4 X n grid.

Number of edge-disjoint paths between opposite corners of 5xn grid.

Number of edge-disjoint paths between opposite corners of 6 X n grid.

Number of edge-disjoint paths between opposite corners of 7 X n grid.

Number of edge-disjoint paths between opposite corners of 8 X n grid.

Unrestricted Perrin pseudoprimes.

From applying the "rational mean" to the number e.

First coordinate of fundamental unit of real quadratic field with discriminant A003658(n), n >= 2.

Pisot sequence E(7,15), a(n)=[ a(n-1)^2/a(n-2)+1/2 ].

Pisot sequence E(8,14), a(n)=[ a(n-1)^2/a(n-2)+1/2 ].

Pisot sequence E(9,15), a(n) = floor( a(n-1)^2/a(n-2) + 1/2 ).

Pisot sequence E(9,17), a(n) = floor( a(n-1)^2/a(n-2) + 1/2 ).

Pisot sequence E(9,19), a(n)=[ a(n-1)^2/a(n-2)+1/2 ].

Pisot sequence E(10,18), a(n)=[ a(n-1)^2/a(n-2)+1/2 ].

Pisot sequence E(10,21), a(n) = floor( a(n-1)^2/a(n-2)+1/2 ).

Pisot sequence E(10,22), a(n) = floor( a(n-1)^2/a(n-2)+1/2 ).

First differences of Shallit sequence S(3,7) (A020730).

Linear recursion relative of Shallit sequence S(2,6).