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%I #26 Sep 04 2017 03:50:48
%S 1,13,125,1085,9021,73533,593725,4771645,38260541,306433853,
%T 2452868925,19628543805,157050720061,1256495238973,10052319825725,
%U 80419990261565,643365648715581,5146948096216893,41175676395704125
%N Expansion of 1/((1-x)(1-4x)(1-8x)).
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (13, -44, 32).
%F a(n) = (1/21) - (4/3)*4^n + (16/7)*8^n. - _Antonio Alberto Olivares_, Feb 07 2010
%F a(0)=1, a(1)=13, a(n) = 12*a(n-1) - 32*a(n-2) + 1. - _Vincenzo Librandi_, Feb 10 2011
%F a(0)=1, a(1)=13, a(2)=125, a(n) = 13*a(n-1) - 44*a(n-2) + 32*a(n-3). - _Harvey P. Dale_, Aug 16 2012
%t CoefficientList[Series[1/((1-x)(1-4x)(1-8x)),{x,0,20}],x] (* or *) LinearRecurrence[{13,-44,32},{1,13,125},20] (* _Harvey P. Dale_, Aug 16 2012 *)
%K nonn
%O 0,2
%A _N. J. A. Sloane_