A059595 Seventh column (m=6) of convolution triangle A059594(n,m).

1, 7, 35, 133, 434, 1246, 3262, 7890, 17913, 38479, 78883, 155141, 294280, 540344, 963832, 1674568, 2841006, 4715970, 7673834, 12259142, 19254676, 29768972, 45355660, 68164628, 101143574, 148289946

Offset

0,2

Links

Table of n, a(n) for n=0..25.

Formula

G.f.: 1/((1-x^2)*(1-x))^7.

a(2*k)= binomial(k+10, 10)* (16*k^3+212*k^2+708*k+429)/(13*3*11);

a(2*k+1)= binomial(k+10, 10)*(16*k^3+316*k^2+1852*k+3003)/(13*3*11), k >= 0.

Mathematica

CoefficientList[Series[1/((1-x^2)(1-x))^7, {x, 0, 30}], x] (* Harvey P. Dale, Dec 04 2018 *)

Crossrefs

Sequence in context: A250284 A328019 A327243 * A327385 A344101 A001941

Adjacent sequences: A059592 A059593 A059594 * A059596 A059597 A059598

Keyword

nonn

Author

Wolfdieter Lang, Feb 02 2001.

Status

approved