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A303566 a(n) = [x^n] (Sum_{k=0..n} (k+1)!*x^k)/(Sum_{k=0..n} (k+1)!*(-x)^k). 3

%I #9 Apr 26 2018 19:00:41

%S 1,4,8,40,128,1168,4448,66400,268544,6124480,25118336,827294848,

%T 3386501120,153439657216,624706655744,37378784384512,151446759993344,

%U 11573673369828352,46729404312578048,4439994292732364800,17884613664930529280,2067374053521268559872

%N a(n) = [x^n] (Sum_{k=0..n} (k+1)!*x^k)/(Sum_{k=0..n} (k+1)!*(-x)^k).

%H Seiichi Manyama, <a href="/A303566/b303566.txt">Table of n, a(n) for n = 0..448</a>

%o (PARI) N=66; x='x+O('x^N); Vec(sum(k=0, N, (k+1)!*x^k)/sum(k=0, N, (k+1)!*(-x)^k))

%Y Cf. A303565, A303567.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Apr 26 2018

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Last modified April 24 06:24 EDT 2024. Contains 371918 sequences. (Running on oeis4.)