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A016196 Expansion of 1/((1-10*x)*(1-12*x)). 3

%I #24 Feb 08 2024 08:21:56

%S 1,22,364,5368,74416,992992,12915904,164990848,2079890176,25958682112,

%T 321504185344,3958050224128,48496602689536,591959232274432,

%U 7203510787293184,87442129447518208,1059305553370218496

%N Expansion of 1/((1-10*x)*(1-12*x)).

%H Paolo Xausa, <a href="/A016196/b016196.txt">Table of n, a(n) for n = 0..500</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (22,-120).

%F a(n) = 6*12^n - 5*10^n. - _Bruno Berselli_, Feb 09 2011

%F a(n) = 12*a(n-1) + 10^n, a(0)=1. - _Vincenzo Librandi_, Feb 09 2011

%F a(n) = 22*a(n-1) - 120*a(n-2); a(0)=1, a(1)=22. - _Vincenzo Librandi_, Feb 09 2011

%t A016196[n_] := 6*12^n - 5*10^n; Array[A016196, 20, 0] (* or *)

%t LinearRecurrence[{22, -120}, {1, 22}, 20] (* _Paolo Xausa_, Feb 08 2024 *)

%o (PARI) Vec(1/((1-10*x)*(1-12*x))+O(x^99)) \\ _Charles R Greathouse IV_, Sep 26 2012

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_

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Last modified March 29 02:13 EDT 2024. Contains 371264 sequences. (Running on oeis4.)