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 A099111 Expansion of 1 / ((1+x)*(1-2*x)*(1-3*x)*(1-4*x)*(1-5*x)). 2

%I

%S 1,13,112,798,5103,30471,173734,958936,5170165,27396369,143295516,

%T 742128114,3814432987,19490910907,99140278258,502476527532,

%U 2539579950369,12806979393285,64472086878760,324111808432390

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

%H Vincenzo Librandi, <a href="/A099111/b099111.txt">Table of n, a(n) for n = 0..1000</a>

%F a(n) = (1/360)*(6250*5^n - 9216*4^n + 3645*3^n - 320*2^n + (-1)^n).

%o (Magma) [(1/360)*(6250*5^n - 9216*4^n + 3645*3^n - 320*2^n + (-1)^n): n in [0..20]]; // _Vincenzo Librandi_, Oct 11 2011

%Y First differences are in A004058. Pairwise sums are in A025211.

%K nonn,easy

%O 0,2

%A _Ralf Stephan_, Sep 28 2004

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Last modified March 29 21:39 EDT 2023. Contains 361599 sequences. (Running on oeis4.)