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Expansion of (1-x)/( (1+x)*(1-2*x)*(1-3*x)*(1-4*x)*(1-5*x)).
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%I #14 Sep 08 2022 08:44:32

%S 1,12,99,686,4305,25368,143263,785202,4211229,22226204,115899147,

%T 598832598,3072304873,15676477920,79649367351,403336249274,

%U 2037103422837,10267399442916,51665107485475

%N Expansion of (1-x)/( (1+x)*(1-2*x)*(1-3*x)*(1-4*x)*(1-5*x)).

%H Vincenzo Librandi, <a href="/A004058/b004058.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (13,-57,83,34,-120).

%F a(n) = (1/180)*(2500*5^n - 3456*4^n + 1215*3^n - 80*2^n + (-1)^n).

%o (Magma) [(1/180) *(2500*5^n - 3456*4^n + 1215*3^n - 80*2^n + (-1)^n): n in [0..30]]; // _Vincenzo Librandi_, Oct 08 2011

%Y First differences of A099111.

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_