A094259 Expansion of g.f.: (1-5*x)/((1-6*x)*(1-x)^2).

1, 3, 11, 55, 315, 1871, 11203, 67191, 403115, 2418655, 14511891, 87071303, 522427771, 3134566575, 18807399395, 112844396311, 677066377803, 4062398266751, 24374389600435, 146246337602535, 877478025615131, 5264868153690703, 31589208922144131, 189535253532864695

Offset: 0

Author

N. J. A. Sloane, Jun 02 2004

Keywords

• nonn
• easy

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (8,-13,6).

Crossrefs

Cf. A094195.

A row of A094250.

Programs

Magma

[(6^(n+1) +20*n +19)/25: n in [0..40]]; // G. C. Greubel, Aug 18 2023

Mathematica

LinearRecurrence[{8,-13,6}, {1,3,11}, 41] (* G. C. Greubel, Aug 18 2023 *)

SageMath

[(6^(n+1) +20*n +19)/25 for n in range(41)] # G. C. Greubel, Aug 18 2023

Formula

a(n) = (6^(n+1) + 20*n + 19)/25.

E.g.f.: (1/25)*(6*exp(6*x) + (19 + 20*x)*exp(x)). - G. C. Greubel, Aug 18 2023