A028081 Expansion of 1/((1-3x)(1-6x)(1-8x)(1-11x)).

1, 28, 507, 7574, 101801, 1283016, 15511399, 182368858, 2103357861, 23935475564, 269799417251, 3020592495102, 33653261722081, 373625952944272, 4137562797943263, 45735549657446306, 504875559449240861

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (28,-277,1134,-1584).

Formula

a(0)=1, a(1)=28, a(2)=507, a(3)=7574, a(n)=28*a(n-1)-277*a(n-2)+ 1134*a(n-3)- 1584*a(n-4). - Harvey P. Dale, Jan 04 2013

a(n)=(11^(n+3)-4*8^(n+3)+4*6^(n+3)-3^(n+3))/120. [Yahia Kahloune, May 31 2013]

Mathematica

CoefficientList[Series[1/((1-3x)(1-6x)(1-8x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{28, -277, 1134, -1584}, {1, 28, 507, 7574}, 30] (* Harvey P. Dale, Jan 04 2013 *)

Prog

(PARI) Vec(1/(1-3*x)/(1-6*x)/(1-8*x)/(1-11*x)+O(x^99)) \\ Charles R Greathouse IV, May 31 2013

Crossrefs

Sequence in context: A042516 A028083 A028122 * A028009 A028119 A028069

Adjacent sequences: A028078 A028079 A028080 * A028082 A028083 A028084

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved