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Expansion of 1/((1-2x)(1-3x)(1-5x)(1-8x)).
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%I #13 Aug 31 2018 02:55:39

%S 1,18,213,2114,19173,165354,1384741,11393778,92748645,750039290,

%T 6040740069,48528576642,389243479717,3119026937226,24977625311397,

%U 199948094540306,1600220345577189,12804941098049562,102455421613293925

%N Expansion of 1/((1-2x)(1-3x)(1-5x)(1-8x)).

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (18,-111,278,-240)

%F From _Vincenzo Librandi_, Mar 19 2011: (Start)

%F a(n) = 18*a(n-1) - 111*a(n-2) + 278*a(n-3) - 240*a(n-4), n >= 4.

%F a(n) = 13*a(n-1) - 40*a(n-2) + 3^(n+1) - 2^(n+1), n >= 2. (End)

%F a(n) = 4*8^(n+2)/45 - 2^(n+2)/9 - 5^(n+3)/18 + 3^(n+3)/10. - _R. J. Mathar_, Mar 19 2011

%K nonn

%O 0,2

%A _N. J. A. Sloane_