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Expansion of 1/((1-5x)(1-9x)(1-10x)(1-12x)).
0

%I #13 Aug 31 2018 19:27:06

%S 1,36,823,15270,251161,3822096,55123003,764718570,10305415021,

%T 135822156756,1759270703983,22475843025870,283991223372481,

%U 3556423423325016,44213833662081763,546396746667037170

%N Expansion of 1/((1-5x)(1-9x)(1-10x)(1-12x)).

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (36,-473,2670,-5400)

%F a(n) = 22*a(n-1) - 120*a(n-2) + (9^(n+1) - 5^(n+1))/4, n >= 2. - _Vincenzo Librandi_, Mar 12 2011

%F a(n) = -5^(n+2)/28 - 10^(n+2) + 2*12^(n+2)/7 + 3*9^(n+2)/4. - _R. J. Mathar_, Mar 18 2011

%K nonn

%O 0,2

%A _N. J. A. Sloane_