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 A380310 #18 Jan 21 2025 04:59:56
%S A380310 1,-1,-5,-49,-719,-14077,-344909,-10152829,-349045535,-13727327833,
%T A380310 -607873987637,-29931556660105,-1622308999459631,-95982568510668373,
%U A380310 -6155361624644676989,-425321834949751148053,-31502433469012320013631,-2489898822489054343250737,-209178052238110675644666341
%N A380310 Expansion of e.g.f. exp( 1 - 1/(1-5*x)^(1/5) ).
%H A380310 Seiichi Manyama, <a href="/A380310/b380310.txt">Table of n, a(n) for n = 0..355</a>
%F A380310 a(n) = Sum_{k=0..n} 5^(n-k) * |Stirling1(n,k)| * A000587(k).
%F A380310 a(n) = e * (-5)^n * n! * Sum_{k>=0} (-1)^k * binomial(-k/5,n)/k!.
%F A380310 a(0) = 1; a(n) = -Sum_{k=1..n} A008548(k) * binomial(n-1,k-1) * a(n-k).
%o A380310 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(1-1/(1-5*x)^(1/5))))
%Y A380310 Cf. A145561, A380308, A380309.
%Y A380310 Cf. A000587, A008548, A028575.
%K A380310 sign
%O A380310 0,3
%A A380310 _Seiichi Manyama_, Jan 20 2025