A155649 a(n) = 11^n + 6^n - 1^n.

1, 16, 156, 1546, 15936, 168826, 1818216, 19767106, 216038496, 2368025386, 25997890776, 285674467666, 3140605159056, 34535772837946, 379828197747336, 4177718354400226, 45952550973479616, 505463955158738506, 5560018873448899896, 61159699808154556786, 672753651091000072176

Offset

0,2

Links

Paolo Xausa, Table of n, a(n) for n = 0..960

Index entries for linear recurrences with constant coefficients, signature (18,-83,66).

Formula

G.f.: 1/(1-11*x)+1/(1-6*x)-1/(1-x).

E.g.f.: e^(11*x)+e^(6*x)-e^x.

a(n) = 17*a(n-1)-66*a(n-2)-50 with a(0) = 1, a(1) = 16 - Vincenzo Librandi, Jul 21 2010

Maple

A155649:=n->11^n+6^n-1: seq(A155649(n), n=0..30); # Wesley Ivan Hurt, Apr 24 2017

Mathematica

A155649[n_] := 11^n + 6^n - 1; Array[A155649, 20, 0] (* Paolo Xausa, May 06 2026 *)

Prog

(PARI) a(n)=11^n+6^n-1 \\ Charles R Greathouse IV, Jun 11 2015

Crossrefs

Cf. A155628, A155629, A155630, A155631, A155632, A155633, A155634, A155635, A155636, A155637, A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645, A155646, A155647, A155648.

Sequence in context: A249981 A144499 A173763 * A184598 A258460 A320548

Adjacent sequences: A155646 A155647 A155648 * A155650 A155651 A155652

Keyword

nonn,easy

Author

Mohammad K. Azarian, Jan 31 2009

Extensions

More terms from Paolo Xausa, May 06 2026

Status

approved