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A024435 Expansion of 1/((1-x)(1-6x)(1-10x)(1-12x)). 1
1, 29, 561, 9121, 134897, 1882545, 25284337, 330685937, 4242985713, 53675466481, 671774536433, 8338419180273, 102834889732849, 1261772945322737, 15418912066155249, 187803876238668529 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..925

Index entries for linear recurrences with constant coefficients, signature (29,-280,972,-720).

FORMULA

a(n) = (30*12^(n+3) - 55*10^(n+3) + 33*6^(n+3) - 8)/3960. [Yahia Kahloune, Jun 28 2013]

a(0)=1, a(1)=29, a(2)=561, a(3)=9121, a(n)=29*a(n-1)-280*a(n-2)+ 972*a(n-3)- 720*a(n-4). - Harvey P. Dale, Apr 20 2015

MATHEMATICA

CoefficientList[Series[1/((1-x)(1-6x)(1-10x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{29, -280, 972, -720}, {1, 29, 561, 9121}, 30] (* Harvey P. Dale, Apr 20 2015 *)

CROSSREFS

Sequence in context: A024444 A026241 A024443 * A020979 A025985 A020978

Adjacent sequences:  A024432 A024433 A024434 * A024436 A024437 A024438

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified July 16 04:26 EDT 2019. Contains 325064 sequences. (Running on oeis4.)