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

Author

Wolfdieter Lang, Feb 02 2001

Keywords

• nonn

Programs

Mathematica

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

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.