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.
%I A354554 #17 Aug 19 2022 02:25:33 %S A354554 1,1,1,1,1,121,721,2521,6721,196561,3659041,29993041,159762241, %T A354554 1686639241,60298558321,987112886761,9315623640961,76611297104161, %U A354554 2454331471018561,69805324167893281,1086439146068753281,11530308934656915481 %N A354554 Expansion of e.g.f. exp( x * exp(x^4) ). %H A354554 Seiichi Manyama, <a href="/A354554/b354554.txt">Table of n, a(n) for n = 0..467</a> %F A354554 a(n) = n! * Sum_{k=0..floor(n/4)} (n - 4*k)^k/(k! * (n - 4*k)!). %o A354554 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x*(exp(x^4))))) %o A354554 (PARI) a(n) = n!*sum(k=0, n\4, (n-4*k)^k/(k!*(n-4*k)!)); %Y A354554 Cf. A000248, A216688, A354553. %K A354554 nonn %O A354554 0,6 %A A354554 _Seiichi Manyama_, Aug 18 2022