A059601 Expansion of (1+10*x+5*x^2)/(1-x)^10.

1, 20, 160, 820, 3190, 10252, 28600, 71500, 163735, 348920, 700128, 1334840, 2435420, 4276520, 7261040, 11966504, 19203965, 30091820, 46147200, 69397900, 102518130, 148991700, 213306600, 301185300

Offset: 0

Author

Wolfdieter Lang, Feb 02 2001

Keywords

• nonn
• easy

Comments

a(n)= A038165(2*n).

Links

• Index entries for linear recurrences with constant coefficients, signature (10, -45, 120, -210, 252, -210, 120, -45, 10, -1).

Formula

a(n)= binomial(n+7, 7)*(4*n^2+23*n+18)/18.

G.f.:(1+10*x+5*x^2)/(1-x)^10.