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A287702 a(n) = (3!)^3 * [z^3] hypergeom([], [1,1], z)^n. 1
0, 1, 56, 381, 1192, 2705, 5136, 8701, 13616, 20097, 28360, 38621, 51096, 66001, 83552, 103965, 127456, 154241, 184536, 218557, 256520, 298641, 345136, 396221, 452112, 513025, 579176, 650781, 728056, 811217, 900480, 996061, 1098176, 1207041, 1322872, 1445885 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..35.

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

FORMULA

O.g.f.: x*(1 + 52*x + 163*x^2) / (1 - x)^4.

a(n) = 46*n - 81*n^2 + 36*n^3.

a(n) = [x^n] (x + 52*x^2 + 163*x^3) / (1 - x)^4.

MAPLE

a := n -> 46*n - 81*n^2 + 36*n^3: seq(a(n), n=0..35);

MATHEMATICA

Table[46 n - 81 n^2 + 36 n^3, {n, 0, 40}] (* Bruno Berselli, Jun 06 2017 *)

LinearRecurrence[{4, -6, 4, -1}, {0, 1, 56, 381}, 40] (* Harvey P. Dale, Aug 20 2017 *)

CROSSREFS

Column 3 of A287698.

Sequence in context: A219826 A075283 A205313 * A008447 A076647 A187159

Adjacent sequences:  A287699 A287700 A287701 * A287703 A287704 A287705

KEYWORD

nonn,easy

AUTHOR

Peter Luschny, Jun 01 2017

STATUS

approved

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Last modified October 20 15:44 EDT 2017. Contains 293626 sequences.