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

Offset: 0

Author

Mohammad K. Azarian, Jan 31 2009

Keywords

• nonn
• easy

Links

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

Crossrefs

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

Programs

Maple

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

PARI

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

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