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A155670 11^n+9^n-1^n 4
1, 19, 201, 2059, 21201, 220099, 2303001, 24270139, 257405601, 2745368179, 29424209001, 316692730219, 3420857913201, 37064577972259, 402626626038201, 4383139301510299, 47802750052424001, 522124210198960339 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

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 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jul 21 2010]

MATHEMATICA

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

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 A125407

Adjacent sequences:  A155667 A155668 A155669 * A155671 A155672 A155673

KEYWORD

nonn

AUTHOR

Mohammad K. Azarian (azarian(AT)evansville.edu), Feb 01 2009

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Last modified February 17 14:50 EST 2012. Contains 206050 sequences.