A092327 a(n) = (1/12)*(n+1)*(n^3+19*n^2+118*n+228).

0, 19, 61, 137, 260, 445, 709, 1071, 1552, 2175, 2965, 3949, 5156, 6617, 8365, 10435, 12864, 15691, 18957, 22705, 26980, 31829, 37301, 43447, 50320, 57975, 66469, 75861, 86212, 97585, 110045, 123659, 138496, 154627, 172125, 191065, 211524, 233581, 257317

Offset

-1,2

Links

Table of n, a(n) for n=-1..37.

P. Erdős, R. K. Guy and J. W. Moon, On refining partitions, J. London Math. Soc., 9 (1975), 565-570.

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

Formula

G.f.: (5*x^3-22*x^2+34*x-19)/(x-1)^5. - Alois P. Heinz, Aug 30 2021

Mathematica

Table[((n+1)(n^3+19n^2+118n+228))/12, {n, -1, 40}] (* Harvey P. Dale, Aug 30 2021 *)

Prog

(PARI) a(n) = (n+1)*(n^3+19*n^2+118*n+228)/12; \\ Michel Marcus, Jan 12 2016

Crossrefs

Sequence in context: A048890 A127854 A338299 * A139498 A106087 A341081

Adjacent sequences: A092324 A092325 A092326 * A092328 A092329 A092330

Keyword

nonn,easy

Author

N. J. A. Sloane, Feb 25 2004

Status

approved