A144516 a(n) = (15*n^2+45*n-70)*binomial(n+4,6)/8.

0, 0, 10, 175, 1225, 5565, 19425, 56595, 144375, 332475, 705705, 1401400, 2632630, 4718350, 8121750, 13498170, 21754050, 34118490, 52229100, 78233925, 114911335, 165809875, 235410175, 329311125, 454442625, 619307325, 834253875, 1111784310

Offset: 0

Author

N. J. A. Sloane, Dec 17 2008

Keywords

• nonn

Links

• Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).

Crossrefs

A diagonal of A144385.

Programs

Maple

f:=n->(15*n^2+45*n-70)*binomial(n+4,6)/8;

Mathematica

Table[((15n^2+45n-70)Binomial[n+4,6])/8,{n,0,30}] (* Harvey P. Dale, Dec 12 2018 *)

Formula

G.f.: 5x^2(2+17x+2x^2)/(1-x)^9. - R. J. Mathar, Jan 17 2009