cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A354552 Expansion of e.g.f. exp( x * exp(x^4/24) ).

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%I A354552 #17 Aug 19 2022 02:25:17
%S A354552 1,1,1,1,1,6,31,106,281,946,7561,54286,281161,1207636,7997991,
%T A354552 81996916,701522641,4580581916,29742355441,306369616636,3632198902321,
%U A354552 34710574441096,276645112305871,2652825718776696,35647605796451881,458142859493786776
%N A354552 Expansion of e.g.f. exp( x * exp(x^4/24) ).
%C A354552 This sequence is different from A143568.
%H A354552 Seiichi Manyama, <a href="/A354552/b354552.txt">Table of n, a(n) for n = 0..533</a>
%F A354552 a(n) = n! * Sum_{k=0..floor(n/4)} (n - 4*k)^k/(24^k * k! * (n - 4*k)!).
%o A354552 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x*(exp(x^4/24)))))
%o A354552 (PARI) a(n) = n!*sum(k=0, n\4, (n-4*k)^k/(24^k*k!*(n-4*k)!));
%Y A354552 Cf. A000248, A354550, A354551.
%K A354552 nonn
%O A354552 0,6
%A A354552 _Seiichi Manyama_, Aug 18 2022