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%I #4 Jan 27 2019 06:20:29
%S 3,6,5,4,9,8,4,9,8,2,1,9,8,5,8,0,4,4,5,7,9,7,3,6,8,7,5,4,4,6,2,9,9,0,
%T 8,8,3,2,2,7,5,8,8,0,6,9,6,3,4,6,0,2,9,5,0,1,5,9,5,5,1,6,7,6,8,2,1,1,
%U 8,8,3,6,7,4,0,8,4,8,7,3,0,0,3,5,2,2,8,4,1,0,7,4,0,8,2,1,5,4,8,5,3,8,7,5,7,8
%N Decimal expansion of the root of the equation (1-r)^(2-2*r) * r^(2*r) = 1-2*r.
%e 0.36549849821985804457973687544629908832275880696346029501595516768211883674...
%t RealDigits[r/.FindRoot[(1-r)^(2-2*r) * r^(2*r) == 1-2*r, {r, 1/3}, WorkingPrecision->250], 10, 200][[1]]
%Y Cf. A123165, A206851.
%Y Cf. A220359, A237421, A245259, A323768, A323773, A323777.
%K nonn,cons
%O 0,1
%A _Vaclav Kotesovec_, Jan 27 2019
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