A028077 Expansion of 1/((1-3x)(1-6x)(1-7x)(1-11x)).

1, 27, 472, 6822, 88963, 1091349, 12886714, 148484664, 1683799645, 18895210191, 210582084076, 2336271745626, 25842423980647, 285296827032153, 3145632963614158, 34654478019199308, 381572508324065569

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (27, -257, 1017, -1386).

Formula

G.f.: 1/((1-3x)(1-6x)(1-7x)(1-11x)).

a(n) = (3*11^(n+3)-30*7^(n+3)+32*6^(n+3)-5*3^(n+3))/480. - Yahia Kahloune, Jun 10 2013

a(0)=1, a(1)=27, a(2)=472, a(3)=6822, a(n)=27*a(n-1)-257*a(n-2)+ 1017*a(n-3)- 1386*a(n-4). - Harvey P. Dale, May 22 2014

Mathematica

CoefficientList[Series[1/((1-3x)(1-6x)(1-7x)(1-11x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{27, -257, 1017, -1386}, {1, 27, 472, 6822}, 20] (* Harvey P. Dale, May 22 2014 *)

Crossrefs

Sequence in context: A028080 A028118 A028068 * A028006 A028066 A026795

Adjacent sequences: A028074 A028075 A028076 * A028078 A028079 A028080

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved