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Expansion of 1/((1-5x)(1-8x)(1-11x)(1-12x)).
0

%I #15 Jul 17 2019 13:37:09

%S 1,36,825,15380,254721,3910596,56993545,800115060,10923586641,

%T 145981963556,1918518760665,24879137417940,319158529241761,

%U 4058064014390916,51218264422582185,642449405949396020

%N Expansion of 1/((1-5x)(1-8x)(1-11x)(1-12x)).

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (36,-471,2636,-5280).

%F a(n) = 23*a(n-1) - 132*a(n-2) + (8^(n+1) - 5^(n+1))/3, n >= 2. - _Vincenzo Librandi_, Mar 12 2011

%F a(n) = (28*8^(n+2) + 54*12^(n+2) - 7*11^(n+3) - 5^(n+3))/126. - _Bruno Berselli_, Mar 12 2011

%t CoefficientList[Series[1/((1-5x)(1-8x)(1-11x)(1-12x)),{x,0,30}],x] (* or *) LinearRecurrence[{36,-471,2636,-5280},{1,36,825,15380},30] (* _Harvey P. Dale_, Jul 17 2019 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_