A144638 Column 3 of triangle in A144633.

0, 0, 0, 1, -6, 35, -210, 1225, -5670, -5005, 750750, -16391375, 278528250, -4130451325, 51941839950, -429736682375, -3328691115750, 297526876521875, -10250866397021250, 276000929009430625, -6284336658393543750, 114982352685697371875, -1137436827419674031250

Offset: 0

Author

N. J. A. Sloane, Jan 23 2009

Keywords

• sign

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..100

Programs

Maple

A:= proc(n, k) option remember; if n=k then 1 elif k A(i-1, j-1))^(-1) end: a:= n-> M (n+3)[4, n+1]: seq (a(n), n=0..25);  # Alois P. Heinz, Oct 25 2009

Mathematica

max = 22; t[n_, n_] = 1; t[n_ /; n >= 0, k_] /; (0 <= k <= 3*n) := t[n, k] = t[n-1, k-1] + (k-1)*t[n-1, k-2] + (1/2)*(k-1)*(k-2)*t[n-1, k-3]; t[, ] = 0; A144633 = Table[t[n, k], {n, 0, max}, {k, 0, max}] // Inverse // Transpose ; A144633[[All, 4]] (* Jean-François Alcover, Jan 17 2014 *)

Formula

E.g.f.: B(x)^3/6 where B(x) is e.g.f. for A144636. [From Vladeta Jovovic, Jan 24 2009]

Extensions

More terms from Alois P. Heinz, Oct 25 2009