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 A365914 Expansion of e.g.f. 1 / ( 1 - Sum_{k>=0} x^(5*k+4) / (5*k+4)! ). 2

%I #11 Sep 23 2023 07:27:29

%S 1,0,0,0,1,0,0,0,70,1,0,0,34650,1430,1,0,63063000,5105100,54740,1,

%T 305540235000,40738698000,1134117600,1652090,3246670537110001,

%U 644180662125000,33240837630000,314389754250,66475579247381221350,18359921887357050001

%N Expansion of e.g.f. 1 / ( 1 - Sum_{k>=0} x^(5*k+4) / (5*k+4)! ).

%F a(0) = 1; a(n) = Sum_{k=0..floor((n-4)/5)} binomial(n,5*k+4) * a(n-5*k-4).

%o (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-sum(k=0, N\5, x^(5*k+4)/(5*k+4)!))))

%Y Cf. A232475, A365913.

%Y Cf. A365895.

%K nonn,easy

%O 0,9

%A _Seiichi Manyama_, Sep 22 2023

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Last modified August 13 00:55 EDT 2024. Contains 375113 sequences. (Running on oeis4.)