%I #15 Aug 31 2018 19:28:23
%S 1,35,777,13999,223769,3314031,46600009,631601663,8333511417,
%T 107767060687,1372468494761,17273924107167,215413939302745,
%U 2666835630709103,32824988535796233,402159883923086911
%N Expansion of 1/((1-6x)(1-7x)(1-10x)(1-12x)).
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (35,-448,2484,-5040)
%F a(n) = 22*a(n-1) - 120*a(n-2) + 7^(n+1) - 6^(n+1), n >= 2. - _Vincenzo Librandi_, Mar 13 2011
%F a(n) = 12^(n+2)/5 - 9*6^n + 7^(n+3)/15 - 125*10^n/3. - _R. J. Mathar_, Mar 18 2011
%t CoefficientList[Series[1/((1-6x)(1-7x)(1-10x)(1-12x)),{x,0,30}],x] (* or *) LinearRecurrence[{35,-448,2484,-5040},{1,35,777,13999},30] (* _Harvey P. Dale_, Nov 07 2013 *)
%K nonn
%O 0,2
%A _N. J. A. Sloane_