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.

A337807 O.g.f.: 1/(1 - x/(1 - 2^5*x/(1 - 3^5*x/(1 - 4^5*x/(1 - 5^5*x/(1 - 6^5*x/(1 -...))))))), a continued fraction.

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%I A337807 #10 Sep 24 2020 07:27:19
%S A337807 1,1,33,8865,10401345,38103228225,352780110115425,7139708074971014625,
%T A337807 284135772494258636522625,20513418606891012201924650625,
%U A337807 2521576999908767233729260158270625,501403316300941434382591838239147790625,154613553816538472779474765739707728587090625
%N A337807 O.g.f.: 1/(1 - x/(1 - 2^5*x/(1 - 3^5*x/(1 - 4^5*x/(1 - 5^5*x/(1 - 6^5*x/(1 -...))))))), a continued fraction.
%F A337807 a(n) ~ c * d^n * (n!)^5 / sqrt(n), where
%F A337807 d = 10^5 * Gamma(2/5)^5 / Gamma(1/5)^10 = 1.29133469292029895399895579276779248119508048136258551947012306768...
%F A337807 c = sqrt(5*d/(2*Pi)) = 1.0137117429632556021458475899461841562723826775113969124...
%t A337807 nmax = 15; CoefficientList[Series[1/Fold[(1 - #2/#1) &, 1, Reverse[Range[nmax + 1]^5*x]], {x, 0, nmax}], x]
%Y A337807 Cf. A001147, A000364, A216966, A227887, A337808, A337809.
%K A337807 nonn
%O A337807 0,3
%A A337807 _Vaclav Kotesovec_, Sep 23 2020