cp's OEIS Frontend

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.

A347795 Expansion of e.g.f. 1/(1 - x*exp(x)/(1 - 4*x*exp(x)/(1 - 9*x*exp(x)/(1 - 16*x*exp(x)/(1 - ...))))), a continued fraction.

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%I A347795 #6 Sep 14 2021 09:45:09
%S A347795 1,1,12,429,37876,6761065,2136044046,1089769282777,840138009989496,
%T A347795 930785292596431665,1424838078730777692250,2919980132606043561607201,
%U A347795 7805899106468938819037737572,26636112093062499073393688363737,113900544542333346101951507567405622
%N A347795 Expansion of e.g.f. 1/(1 - x*exp(x)/(1 - 4*x*exp(x)/(1 - 9*x*exp(x)/(1 - 16*x*exp(x)/(1 - ...))))), a continued fraction.
%F A347795 a(n) ~ 2^(4*n + 7/2) * n^(3*n + 1) / (exp(3*n) * Pi^(2*n)).
%t A347795 nmax = 20; CoefficientList[Series[1/(1 + ContinuedFractionK[-k^2*x*Exp[x], 1, {k, 1, nmax}]), {x, 0, nmax}], x] * Range[0, nmax]!
%Y A347795 Cf. A295240.
%K A347795 nonn
%O A347795 0,3
%A A347795 _Vaclav Kotesovec_, Sep 14 2021