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A155670 11^n+9^n-1^n 4

%I #16 Oct 16 2015 14:59:48

%S 1,19,201,2059,21201,220099,2303001,24270139,257405601,2745368179,

%T 29424209001,316692730219,3420857913201,37064577972259,

%U 402626626038201,4383139301510299,47802750052424001,522124210198960339

%N 11^n+9^n-1^n

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (21,-119,99).

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

%F a(n)=20*a(n-1)-99*a(n-2)-80 with a(0)=1, a(1)=19 - _Vincenzo Librandi_, Jul 21 2010

%t Table[11^n+9^n-1^n, {n,0,30}] (* _Harvey P. Dale_, Mar 26 2011 *)

%o (PARI) a(n)=11^n+9^n-1^n \\ _Charles R Greathouse IV_, Oct 16 2015

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

%K nonn,easy

%O 0,2

%A _Mohammad K. Azarian_, Feb 01 2009

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Last modified May 2 11:31 EDT 2024. Contains 372196 sequences. (Running on oeis4.)