A112504 Fifth column of triangle A112500.

1, 35, 665, 9107, 100751, 957197, 8110087, 62854845, 453710670, 3091406010, 20086835910, 125465290530, 758173316850, 4455503465430, 25571494599330, 143839855533270, 795332428661055, 4333564250230845, 23317657891319095

Offset: 0

Author

Wolfdieter Lang, Oct 14 2005

Keywords

• nonn
• easy

Comments

For a combinatorial formula see A112500, case k=5.

Links

• Index entries for linear recurrences with constant coefficients, signature (35, -560, 5432, -35714, 168542, -589632, 1556776, -3126949, 4777591, -5506936, 4703032, -2881136, 1195632, -300672, 34560).

Crossrefs

Cf. A112500, A112502, A112503.

Programs

Mathematica

CoefficientList[Series[1/Product[(1-j*x)^(6-j),{j,1,5}],{x,0,20}],x] (* Georg Fischer, Jul 10 2025 *)

Formula

G.f.: 1/product((1-j*x)^(6-j), j=1..5) = 1/(((1-x)^5)*((1-2*x)^4)*((1-3*x)^3)*((1-4*x)^2)*(1-5*x)).

a(n) computable from partial fraction decomposition of g.f. Cf. A112503.