The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A016188 Expansion of 1/((1-8*x)*(1-12*x)). 1

%I #25 Feb 08 2024 08:02:12

%S 1,20,304,4160,54016,680960,8433664,103301120,1256390656,15210905600,

%T 183604609024,2211845242880,26610862391296,319880104509440,

%U 3842959300624384,46150695979581440,554089826731687936,6651329720593940480,79833971045636767744,958151767735717068800

%N Expansion of 1/((1-8*x)*(1-12*x)).

%H Paolo Xausa, <a href="/A016188/b016188.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 (20,-96).

%F a(n) = 3*12^n - 2*8^n. - _Bruno Berselli_, Feb 09 2011

%F a(n) = 12*a(n-1) + 8^n, a(0)=1. - _Vincenzo Librandi_, Feb 09 2011

%F a(n) = 20*a(n-1) - 96*a(n-2), a(0)=1, a(1)=20. - _Vincenzo Librandi_, Feb 09 2011

%t A016188[n_] := 3*12^n - 2*8^n; Array[A016188, 20, 0] (* or *)

%t LinearRecurrence[{20, -96}, {1, 20}, 20] (* _Paolo Xausa_, Feb 08 2024 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 27 19:11 EDT 2024. Contains 372882 sequences. (Running on oeis4.)