A028084 Expansion of 1/((1-3x)(1-6x)(1-9x)(1-11x)).

1, 29, 544, 8414, 116935, 1521023, 18936478, 228705968, 2702760709, 31433459057, 361216744252, 4113147855362, 46506852459523, 522961531303331, 5855208956119066, 65331927878971796, 726978513100416577

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (29,-297,1251,-1782).

Formula

a(n)=(9*11^(n+3)-20*9^(n+3)+16*6^(n+3)-5*3^(n+3))/720. [Yahia Kahloune, May 27 2013].

G.f.: 1/(1-29*x+297*x^2-1251*x^3+1782*x^4). - Harvey P. Dale, Jun 16 2015

a(0)=1, a(1)=29, a(2)=544, a(3)=8414, a(n)=29*a(n-1)-297*a(n-2)+ 1251*a(n-3)- 1782*a(n-4). - Harvey P. Dale, Jun 16 2015

Mathematica

CoefficientList[Series[1/((1-3x)(1-6x)(1-9x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{29, -297, 1251, -1782}, {1, 29, 544, 8414}, 30] (* Harvey P. Dale, Jun 16 2015 *)

Crossrefs

Sequence in context: A028091 A028125 A028134 * A028015 A028123 A028082

Adjacent sequences: A028081 A028082 A028083 * A028085 A028086 A028087

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved