A028063 Expansion of 1/((1-3*x)*(1-5*x)*(1-7*x)*(1-12*x)).

1, 27, 478, 7086, 95923, 1234761, 15440896, 189849132, 2311064965, 27967760535, 337282318594, 4059193972938, 48793580278327, 586108780927749, 7037421345862372, 84477944245876104, 1013937929024363209, 12168675241964230803, 146034053095435909030, 1752478336170259312230, 21030228165631659498811, 252366156100776953228097

Offset

0,2

Links

Table of n, a(n) for n=0..21.

Index entries for linear recurrences with constant coefficients, signature (27,-251,957,-1260).

Formula

a(0)=1, a(1)=27, a(2)=478, a(3)=7086, a(n) = 27*a(n-1)-251*a(n-2)+957*a(n-3)-1260*a(n-4). - Harvey P. Dale, Aug 31 2011

a(n) = (8*12^(n+3)-9*7^(n+4)+18*5^(n+4)-35*3^(n+3))/2520. - Yahia Kahloune, Jun 08 2013

Mathematica

CoefficientList[Series[1/((1-3x)(1-5x)(1-7x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{27, -251, 957, -1260}, {1, 27, 478, 7086}, 20] (* Harvey P. Dale, Aug 31 2011 *)

Crossrefs

Sequence in context: A028114 A026727 A028048 * A024441 A026028 A026543

Adjacent sequences: A028060 A028061 A028062 * A028064 A028065 A028066

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved