A028091 Expansion of 1/((1-3x)(1-7x)(1-8x)(1-11x)).

1, 29, 542, 8326, 114639, 1474683, 18136084, 216253052, 2522916077, 28975740937, 329016750426, 3704913244578, 41464099463515, 461955078856391, 5129492632272368, 56816621295693304, 628178610574416153

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (29, -299, 1279, -1848).

Formula

a(0)=1, a(1)=29, a(2)=542, a(3)=8326, a(n)=29*a(n-1)-299*a(n-2)+ 1279*a(n-3)- 1848*a(n-4). [Harvey P. Dale, Jul 27 2011]

a(n)=(5*11^(n+3)-32*8^(n+3)+30*7^(n+3)-3^(n+4))/480. [Yahia Kahloune, May 27 2013].

Mathematica

CoefficientList[Series[1/((1-3x)(1-7x)(1-8x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{29, -299, 1279, -1848}, {1, 29, 542, 8326}, 30] (* Harvey P. Dale, Jul 27 2011 *)

Crossrefs

Sequence in context: A028137 A028093 A153816 * A028125 A028134 A028084

Adjacent sequences: A028088 A028089 A028090 * A028092 A028093 A028094

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved