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Expansion of 1/((1-7x)(1-8x)(1-9x)(1-12x)).
0

%I #9 Jun 13 2015 00:49:09

%S 1,36,817,14964,241969,3609732,50945329,691013268,9103047217,

%T 117325825188,1487325837361,18617531653812,230789841098545,

%U 2839613067896004,34737008397752113,423047207066166996

%N Expansion of 1/((1-7x)(1-8x)(1-9x)(1-12x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (36,-479,2796,-6048).

%F a(n)=(12^(n+3)-10*9^(n+3)+15*8^(n+3)-6*7^(n+3))/60. [_Yahia Kahloune_, Jun 12 2013]

%F a(0)=1, a(1)=36, a(2)=817, a(3)=14964, a(n)=36*a(n-1)-479*a(n-2)+ 2796*a(n-3)- 6048*a(n-4). - _Harvey P. Dale_, Apr 28 2015

%t CoefficientList[Series[1/((1-7x)(1-8x)(1-9x)(1-12x)),{x,0,30}],x] (* or *) LinearRecurrence[{36,-479,2796,-6048},{1,36,817,14964},30] (* _Harvey P. Dale_, Apr 28 2015 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_.