A122013 Expansion of g.f. -x*(5*x^7-20*x^6-2*x^5+54*x^4+7*x^3-20*x^2-8*x-1)/((x^4-x^3-3*x^2+x+1)*(x^4+x^3-3*x^2-x+1)).

1, 8, 27, 49, 122, 241, 530, 1101, 2312, 4909, 10121, 21688, 44379, 95465, 194734, 419573, 854746, 1842873, 3752212, 8092229, 16472545, 35529800, 72317547, 155990161, 317490482, 684846457, 1393860866, 3006669477, 6119400080

Offset

1,2

Links

Table of n, a(n) for n=1..29.

Index entries for linear recurrences with constant coefficients, signature (0,7,0,-13,0,7,0,-1).

Formula

G.f.: -x*(5*x^7-20*x^6-2*x^5+54*x^4+7*x^3-20*x^2-8*x-1)/((x^4-x^3-3*x^2+x+1)*(x^4+x^3-3*x^2-x+1)). - Colin Barker, Nov 02 2012

Mathematica

LinearRecurrence[{0, 7, 0, -13, 0, 7, 0, -1}, {1, 8, 27, 49, 122, 241, 530, 1101}, 30] (* Harvey P. Dale, Jul 05 2015 *)

Crossrefs

Sequence in context: A032553 A031295 A063144 * A250230 A250278 A223950

Adjacent sequences: A122010 A122011 A122012 * A122014 A122015 A122016

Keyword

nonn,less,easy

Author

Roger L. Bagula, Sep 11 2006

Extensions

New name using g.f. given by Colin Barker from Joerg Arndt, May 15 2022

Status

approved