A028046 Expansion of 1/((1-3x)(1-4x)(1-8x)(1-12x)).

1, 27, 481, 7203, 98665, 1285179, 16245937, 201600531, 2472643129, 30100201131, 364634299393, 4403082925059, 53056831273993, 638440928326683, 7675363823623249, 92216951605023987, 1107504122083376857, 13297255155917290635, 159624707672057279905

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (27, -248, 912, -1152).

Formula

a(0)=1, a(1)=27, a(2)=481, a(3)=7203, a(n) = 27*a(n-1)-248*a(n-2)+912*a(n-3) - 1152*a(n-4). - Harvey P. Dale, Feb 08 2013

a(n) = (5*12^(n+3)-18*8^(n+3)+45*4^(n+3)-32*3^(n+3))/1440. - Yahia Kahloune, Jun 07 2013

Mathematica

CoefficientList[Series[1/((1-3x)(1-4x)(1-8x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{27, -248, 912, -1152}, {1, 27, 481, 7203}, 30] (* Harvey P. Dale, Feb 08 2013 *)

Crossrefs

Sequence in context: A024441 A026028 A026543 * A109821 A057494 A024439

Adjacent sequences: A028043 A028044 A028045 * A028047 A028048 A028049

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved