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A373541 Expansion of e.g.f. exp(x/(1 + x^4)). 0

%I #13 Jun 10 2024 10:02:08

%S 1,1,1,1,1,-119,-719,-2519,-6719,347761,5412961,39861361,199488961,

%T -5448797639,-171814122479,-2172192782759,-17416977701759,

%U 251989368889441,15508068901698241,302085533813309281,3540741711640110721,-21311122660066333079

%N Expansion of e.g.f. exp(x/(1 + x^4)).

%F a(n) = n! * Sum_{k=0..floor(n/4)} (-1)^k * binomial(n-3*k-1,k)/(n-4*k)!.

%F a(n) == 1 mod 120.

%o (PARI) a(n) = n!*sum(k=0, n\4, (-1)^k*binomial(n-3*k-1, k)/(n-4*k)!);

%Y Cf. A293507.

%K sign

%O 0,6

%A _Seiichi Manyama_, Jun 09 2024

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Last modified July 15 16:36 EDT 2024. Contains 374333 sequences. (Running on oeis4.)