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%I #6 Apr 23 2022 13:12:46
%S 4,6,8,0,4,9,8,5,7,9,8,8,2,9,0,5,6,0,2,2,7,5,9,5,0,3,3,7,8,3,7,2,6,6,
%T 7,9,1,4,0,1,0,3,2,4,7,9,5,9,0,0,9,9,7,2,0,0,4,7,0,9,0,1,1,9,4,1,3,9,
%U 4,3,5,4,0,9,1,4,1,3,3,6,9,5,6,0,4,1,7,0,4,5,9,1,5,0,2,3,1,8,9,7,9,0,2,0,1
%N Decimal expansion of the solution of x*(log(x)-1)/(log(x)+1) = 1.
%C Related to the shared tangents of y = exp(x) and y = log(x). For more details, see A263356.
%H Stanislav Sykora, <a href="/A263357/b263357.txt">Table of n, a(n) for n = 1..2000</a>
%F Equals exp(A263356).
%e 4.680498579882905602275950337837266791401032479590099720047090119413...
%e The inverse of this, used in A263356, is
%e 0.213652452390022411936054015235995011478174365311570610900850075919...
%t RealDigits[x/.FindRoot[(x (Log[x]-1))/(Log[x]+1)==1,{x,4},WorkingPrecision-> 120],10,120][[1]] (* _Harvey P. Dale_, Apr 23 2022 *)
%o (PARI) solve(x=1,10,x*(log(x)-1)/(log(x)+1)-1)
%Y Cf. A263356.
%K nonn,cons
%O 1,1
%A _Stanislav Sykora_, Oct 16 2015
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