A155655 a(n) = 8^n + 7^n - 1^n.

1, 14, 112, 854, 6496, 49574, 379792, 2920694, 22542016, 174571334, 1356217072, 10567261334, 82560763936, 646644824294, 5076269583952, 39931933598774, 314707907280256, 2484430327672454, 19642812107392432, 155514083261229014

Offset: 0

Author

Mohammad K. Azarian, Jan 31 2009

Keywords

• nonn
• easy

Links

• Paolo Xausa, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (16,-71,56).

Crossrefs

Cf. A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645, A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654.

Programs

Mathematica

Table[8^n + 7^n - 1, {n, 0, 25}] (* Paolo Xausa, Jul 26 2024 *)

PARI

a(n)=8^n+7^n-1 \\ Charles R Greathouse IV, Jun 11 2015

Formula

G.f.: 1/(1-8*x)+1/(1-7*x)-1/(1-x).

E.g.f.: e^(8*x)+e^(7*x)-e^x.

a(n) = 15*a(n-1)-56*a(n-2)-42 with a(0)=1, a(1)=14. - Vincenzo Librandi, Jul 21 2010