A028176 Expansion of 1/((1-5x)(1-6x)(1-9x)(1-12x)).

1, 32, 655, 10970, 164281, 2296172, 30679075, 397562990, 5043607261, 63029650112, 779227037095, 9558498208610, 116583782365441, 1416013883792852, 17145682731588715, 207132506435751830

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Index entries for linear recurrences with constant coefficients, signature (32,-369,1818,-3240).

Formula

G.f.: 1/((1-5*x)*(1-6*x)*(1-9*x)*(1-12*x)).

a(n) = (2*12^(n+3)-7*9^(n+3)+14*6^(n+3)-9*5^(n+3))/252. - Yahia Kahloune, Jun 03 2013

a(n) = 32*a(n-1) - 369*a(n-2) + 1818*a(n-3) - 3240*a(n-4). - Wesley Ivan Hurt, Jan 25 2023

Mathematica

CoefficientList[Series[1/((1-5x)(1-6x)(1-9x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{32, -369, 1818, -3240}, {1, 32, 655, 10970}, 20] (* Harvey P. Dale, Sep 26 2016 *)

Crossrefs

Sequence in context: A076069 A080480 A028152 * A028151 A160270 A028102

Adjacent sequences: A028173 A028174 A028175 * A028177 A028178 A028179

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved