A085352 Expansion of (1-4x)/((1-5x)(1-6x)).

1, 7, 47, 307, 1967, 12427, 77687, 481747, 2968607, 18202267, 111166727, 676765987, 4109424047, 24900684907, 150624812567, 909852391027, 5489631924287, 33090379436347, 199305216071207, 1199645993692867

Offset: 0

Author

Paul Barry, Jun 24 2003

Keywords

• easy
• nonn

Comments

Binomial transform of A085351. Binomial transform is A085353.

Links

• Colin Barker, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (11,-30).

Crossrefs

Cf. A085351, A085353.

Programs

PARI

Vec((1 - 4*x) / ((1 - 5*x)*(1 - 6*x)) + O(x^20)) \\ Colin Barker, Jul 07 2020

Formula

a(n) = 2*6^n - 5^n.

a(n) = 11*a(n-1) - 30*a(n-2) for n>1. - Colin Barker, Jul 07 2020