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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.

A368442 Expansion of e.g.f. exp(-x) / (3 - 2*exp(2*x)).

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%I A368442 #10 Dec 25 2023 10:02:03
%S A368442 1,3,33,483,9537,235203,6960993,240350883,9484451457,421047638403,
%T A368442 20768624968353,1126878096701283,66701360437693377,
%U A368442 4277150701010241603,295365044324205535713,21853794944452689691683,1724738884402183269207297,144626802398076537956524803
%N A368442 Expansion of e.g.f. exp(-x) / (3 - 2*exp(2*x)).
%F A368442 a(n) = (-1)^n + 2 * Sum_{k=1..n} 2^k * binomial(n,k) * a(n-k).
%o A368442 (PARI) a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=(-1)^i+2*sum(j=1, i, 2^j*binomial(i, j)*v[i-j+1])); v;
%Y A368442 Cf. A367977, A368443, A368454.
%K A368442 nonn
%O A368442 0,2
%A A368442 _Seiichi Manyama_, Dec 24 2023