A024440 Expansion of 1/((1-x)(1-7x)(1-8x)(1-12x)).

1, 28, 521, 8132, 115425, 1547436, 20005177, 252510484, 3136438289, 38534838524, 469928249193, 5701527366756, 68933583580993, 831438081590092, 10011928868278169, 120426060354676148, 1447414807491149937

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Index entries for linear recurrences with constant coefficients, signature (28, -263, 908, -672).

Formula

a(0)=1, a(1)=28, a(2)=521, a(3)=8132; for n>3, a(n) = 28*a(n-1)-263*a(n-2)+ 908*a(n-3)- 672*a(n-4) [Harvey P. Dale, Oct 15 2011]

a(n) = (21*12^(n+3) - 165*8^(n+3) + 154*7^(n+3) - 10)/4620. [Yahia Kahloune, Jun 30 2013]

Mathematica

CoefficientList[Series[1/((1-x)(1-7x)(1-8x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{28, -263, 908, -672}, {1, 28, 521, 8132}, 30] (* Harvey P. Dale, Oct 15 2011 *)

Crossrefs

Sequence in context: A024442 A026108 A024434 * A024347 A025984 A020977

Adjacent sequences: A024437 A024438 A024439 * A024441 A024442 A024443

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved