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A365912 Expansion of e.g.f. 1 / ( 1 - Sum_{k>=0} x^(5*k+3) / (5*k+3)! ). 3

%I #16 Sep 23 2023 08:51:45

%S 1,0,0,1,0,0,20,0,1,1680,0,330,369600,1,180180,168168000,13990,

%T 163363200,137225088001,39041010,232792560000,182509367449640,

%U 118574979600,494730748512001,369398970833730090,451334037000000,1500683270499930350,1080492079984609149000

%N Expansion of e.g.f. 1 / ( 1 - Sum_{k>=0} x^(5*k+3) / (5*k+3)! ).

%H Seiichi Manyama, <a href="/A365912/b365912.txt">Table of n, a(n) for n = 0..498</a>

%F a(0) = 1; a(n) = Sum_{k=0..floor((n-3)/5)} binomial(n,5*k+3) * a(n-5*k-3).

%o (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-sum(k=0, N\5, x^(5*k+3)/(5*k+3)!))))

%Y Cf. A102233, A332258, A365911.

%K nonn,easy

%O 0,7

%A _Seiichi Manyama_, Sep 22 2023

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Last modified July 20 17:32 EDT 2024. Contains 374459 sequences. (Running on oeis4.)