A059624 Expansion of (3+10*x+3*x^2)/(1-x)^12.

3, 46, 357, 1908, 7969, 27846, 84903, 232336, 582114, 1355172, 2964494, 6147336, 12168702, 23125508, 42389874, 75240912, 129747485, 217979970, 357647355, 574277340, 904081815, 1397678490, 2124871905, 3180733920, 4693265460, 6832968168, 9824707116, 13962304272

Offset: 0

Author

Wolfdieter Lang, Feb 02 2001

Keywords

• nonn
• easy

Comments

a(n)=(1/2)*A038166(2*n+1).

Links

• T. D. Noe, Table of n, a(n) for n = 0..1000

Formula

a(n)= binomial(n+9, 9)*(8*n^2+80*n+165)/(11*5).

G.f.: (3+10*x+3*x^2)/(1-x)^12.