A155670 11^n+9^n-1^n

1, 19, 201, 2059, 21201, 220099, 2303001, 24270139, 257405601, 2745368179, 29424209001, 316692730219, 3420857913201, 37064577972259, 402626626038201, 4383139301510299, 47802750052424001, 522124210198960339

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (21,-119,99).

Formula

G.f.: 1/(1-11*x)+1/(1-9*x)-1/(1-x). E.g.f.: e^(11*x)+e^(9*x)-e^x.

a(n)=20*a(n-1)-99*a(n-2)-80 with a(0)=1, a(1)=19 - Vincenzo Librandi, Jul 21 2010

Mathematica

Table[11^n+9^n-1^n, {n, 0, 30}] (* Harvey P. Dale, Mar 26 2011 *)

Prog

(PARI) a(n)=11^n+9^n-1^n \\ Charles R Greathouse IV, Oct 16 2015

Crossrefs

A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657, A155658, A155659, A155660, A155661, A155662, A155663, A155664, A155665, A155666, A155667, A155668, A155669

Sequence in context: A055558 A160452 A113596 * A085770 A002501 A180364

Adjacent sequences: A155667 A155668 A155669 * A155671 A155672 A155673

Keyword

nonn,easy

Author

Mohammad K. Azarian, Feb 01 2009

Status

approved