%I #14 Aug 31 2018 19:28:14
%S 1,33,691,11757,177835,2499021,33451867,433216509,5483226859,
%T 68297761389,841179979003,10278678991581,124904130163723,
%U 1511929278991437,18252066460636699,219926530250218173
%N Expansion of 1/((1-6x)(1-7x)(1-8x)(1-12x)).
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (33,-398,2088,-4032)
%F a(n) = 20*a(n-1) - 96*a(n-2) + 7^(n+1) - 6^(n+1), n >= 2. - _Vincenzo Librandi_, Mar 13 2011
%F a(n) = -8^(n+2) - 3*6^(n+1) + 6*12^(n+1)/5 + 7^(n+3)/5. - _R. J. Mathar_, Mar 14 2011
%t CoefficientList[Series[1/((1-6x)(1-7x)(1-8x)(1-12x)),{x,0,20}],x] (* or *) LinearRecurrence[{33,-398,2088,-4032},{1,33,691,11757},20] (* _Harvey P. Dale_, Nov 09 2014 *)
%K nonn
%O 0,2
%A _N. J. A. Sloane_