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%I #12 Jul 30 2015 22:12:20
%S 1,32,675,11830,186641,2752932,38765455,527869010,7009691181,
%T 91304772832,1171464693035,14850954198990,186462962442121,
%U 2322930268904732,28754646814361415,354082225170989770
%N Expansion of 1/((1-x)(1-9x)(1-10x)(1-12x)).
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (32, -349, 1398, -1080).
%F a(0)=1, a(1)=32, a(2)=675, a(3)=11830, a(n)=32*a(n-1)- 349*a(n-2)+ 1398*a(n-3)-1080*a(n-4) [From Harvey P. Dale, Jul 26 2011]
%F a(n) = (12^(n+4) - 44*10^(n+3) + 33*9^(n+3) - 1)/792. [_Yahia Kahloune_, Jul 02 2013]
%t CoefficientList[Series[1/((1-x)(1-9x)(1-10x)(1-12x)),{x,0,30}],x] (* or *) LinearRecurrence[{32,-349,1398,-1080},{1,32,675,11830},30] (* _Harvey P. Dale_, Jul 26 2011 *)
%K nonn
%O 0,2
%A _N. J. A. Sloane_.