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 A353205 #21 Feb 22 2023 23:13:20
%S A353205 1,-1,-1,-1,13,19,-29,251,281,-13033,56071,-28601,-10136411,57321419,
%T A353205 -39757717,-17223709021,139901102641,-12418205969,-56710054724849,
%U A353205 628073178260687,380303328920381,-324513582131326141,4616335903275095539,5642278545451902859
%N A353205 Expansion of e.g.f. (1 - x^3)^(1 + 1/x + 1/x^2).
%H A353205 Vaclav Kotesovec, <a href="/A353205/b353205.txt">Table of n, a(n) for n = 0..449</a>
%F A353205 E.g.f.: exp( -Sum{k >= 1} x^k/A008620(k-1) ).
%F A353205 a(0) = 1; a(n) = -(n-1)! * Sum_{k=1..n} k/A008620(k-1) * a(n-k)/(n-k)!.
%t A353205 nmax = 25; CoefficientList[Series[(1 - x^3)^(1 + 1/x + 1/x^2), {x, 0, nmax}], x] * Range[0, nmax]! (* _Vaclav Kotesovec_, May 09 2022 *)
%o A353205 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace((1-x^3)^(1+1/x+1/x^2)))
%o A353205 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(-sum(k=1, N, x^k/((k+2)\3)))))
%o A353205 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=-(i-1)!*sum(j=1, i, j/((j+2)\3)*v[i-j+1]/(i-j)!)); v;
%Y A353205 Cf. A008620, A246689, A353204.
%K A353205 sign
%O A353205 0,5
%A A353205 _Seiichi Manyama_, Apr 30 2022