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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.

A367922 Expansion of e.g.f. 1/(1 - x + 2*log(1 - x)).

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%I A367922 #9 Dec 05 2023 08:59:32
%S A367922 1,3,20,202,2724,45928,929288,21936864,591822912,17962293408,
%T A367922 605744322048,22470338716032,909323575700352,39864781715364864,
%U A367922 1882110048700328448,95205899353680970752,5137022051563160623104,294501790029090740576256
%N A367922 Expansion of e.g.f. 1/(1 - x + 2*log(1 - x)).
%F A367922 a(0) = 1; a(n) = n * a(n-1) + 2 * Sum_{k=1..n} (k-1)! * binomial(n,k) * a(n-k).
%o A367922 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=i*v[i]+2*sum(j=1, i, (j-1)!*binomial(i, j)*v[i-j+1])); v;
%Y A367922 Cf. A052820, A367923.
%Y A367922 Cf. A367845.
%K A367922 nonn
%O A367922 0,2
%A A367922 _Seiichi Manyama_, Dec 05 2023