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.

A242769 Decimal expansion of the positive solution to the equation x/(1-x) = 1+log(1/(1-x)), an auxiliary constant associated with the problem of enumeration of trees by inversions.

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%I A242769 #11 Aug 06 2024 10:51:42
%S A242769 6,8,2,1,5,5,5,6,7,1,0,0,6,2,7,3,1,6,1,6,7,1,5,5,2,6,2,3,7,9,0,5,0,8,
%T A242769 3,3,0,0,3,8,6,8,1,0,0,0,1,6,8,8,8,5,9,9,1,0,9,0,6,5,5,1,0,1,3,4,2,2,
%U A242769 0,8,6,2,6,5,8,2,1,7,7,1,5,9,8,1,1,4,8,8,6,8,9,0,5,4,5,3,9,9,8,1
%N A242769 Decimal expansion of the positive solution to the equation x/(1-x) = 1+log(1/(1-x)), an auxiliary constant associated with the problem of enumeration of trees by inversions.
%D A242769 Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.6, p. 303.
%H A242769 I. M. Gessel, B. E. Sagan, Y. N. Yeh, <a href="https://citeseerx.ist.psu.edu/pdf/8778c15df843ebba803c85fc5a13515600c0d91a">Enumeration of Trees By Inversions</a>, 1999, p. 20.
%e A242769 0.6821555671006273161671552623790508330038681...
%t A242769 mu = x /. FindRoot[x/(1-x) == 1+Log[1/(1-x)], {x, 1/2}, WorkingPrecision -> 105]; RealDigits[mu, 10, 100] // First
%Y A242769 Cf. A038037.
%K A242769 nonn,cons
%O A242769 0,1
%A A242769 _Jean-François Alcover_, May 22 2014