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A024778 Expansion of 1/((1-x)(1-8x)(1-9x)(1-12x)). 0
1, 30, 595, 9840, 147061, 2063010, 27740215, 362136180, 4628090521, 58232585190, 724277646235, 8930528438520, 109397647960381, 1333481828166570, 16193198750646655, 196081347032548860 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (30,-305,1140,-864).

FORMULA

a(n) = (14*12^(n+3) - 77*9^(n+3) + 66*8^(n+3) - 3)/1848. [Yahia Kahloune, Jul 01 2013]

a(0)=1, a(1)=30, a(2)=595, a(3)=9840, a(n)=30*a(n-1)-305*a(n-2)+ 1140*a(n-3)- 864*a(n-4). - Harvey P. Dale, May 10 2015

MATHEMATICA

CoefficientList[Series[1/((1-x)(1-8x)(1-9x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{30, -305, 1140, -864}, {1, 30, 595, 9840}, 30] (* Harvey P. Dale, May 10 2015 *)

CROSSREFS

Sequence in context: A028072 A028003 A024999 * A004347 A028052 A024445

Adjacent sequences:  A024775 A024776 A024777 * A024779 A024780 A024781

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 26 02:14 EDT 2021. Contains 348256 sequences. (Running on oeis4.)