A096200 a(n) = n*(n-1)*(n-2)*(3*n-2)/6.

0, 0, 0, 7, 40, 130, 320, 665, 1232, 2100, 3360, 5115, 7480, 10582, 14560, 19565, 25760, 33320, 42432, 53295, 66120, 81130, 98560, 118657, 141680, 167900, 197600, 231075, 268632, 310590, 357280, 409045, 466240, 529232, 598400, 674135, 756840, 846930, 944832

Offset

0,4

Links

Table of n, a(n) for n=0..38.

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Formula

From Stefano Spezia, Aug 31 2023: (Start)

G.f.: x^3*(7 + 5*x)/(1 - x)^5.

a(n+2) - a(n+1) = A051895(n). (End)

Mathematica

Table[n*(n-1)*(n-2)*(3*n-2)/6, {n, 0, 100}] (* Vladimir Joseph Stephan Orlovsky, Jun 03 2011 *)

Crossrefs

Cf. A051895.

Sequence in context: A164135 A119056 A164083 * A365373 A263473 A055282

Adjacent sequences: A096197 A096198 A096199 * A096201 A096202 A096203

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 27 2004

Status

approved