A059602 Expansion of (5+10*x+x^2)/(1-x)^10.

5, 60, 376, 1660, 5830, 17380, 45760, 109252, 240955, 497640, 972400, 1812200, 3241628, 5594360, 9354080, 15206840, 24107105, 37360004, 56722600, 84527300, 123830850, 178592700, 253886880, 356151900

Offset: 0

Author

Wolfdieter Lang, Feb 02 2001

Keywords

• nonn
• easy

Comments

a(n)= A038165(2*n+1).

Programs

Mathematica

CoefficientList[Series[(5+10x+x^2)/(1-x)^10,{x,0,50}],x]  (* Harvey P. Dale, Mar 01 2011 *)

Formula

a(n)= binomial(n+7, 7)*(4*n^2+41*n+90)/18.

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