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A237421
Decimal expansion of the root of the equation (1-r)^(2*r) = r^(2*r+1).
9
6, 0, 3, 2, 3, 2, 6, 8, 3, 7, 7, 4, 1, 3, 6, 2, 0, 6, 2, 2, 0, 1, 9, 2, 6, 5, 0, 9, 4, 8, 6, 6, 8, 2, 2, 0, 4, 2, 0, 9, 6, 2, 5, 1, 4, 2, 1, 1, 7, 4, 8, 7, 4, 8, 0, 4, 2, 4, 0, 3, 6, 1, 5, 4, 8, 8, 9, 6, 6, 5, 7, 3, 0, 6, 0, 4, 3, 0, 0, 6, 9, 7, 3, 8, 3, 0, 3, 2, 1, 9, 2, 7, 2, 3, 5, 2, 6, 2, 5, 4, 7, 6, 9, 7, 7, 3
OFFSET
0,1
LINKS
EXAMPLE
0.6032326837741362...
MAPLE
Digits:= 140:
v:= convert(fsolve((1-r)^(2*r) = r^(2*r+1), r=1/2), string):
seq(parse(v[n+2]), n=0..120);
MATHEMATICA
RealDigits[r/.FindRoot[(1-r)^(2*r)==r^(2*r+1), {r, 1/2}, WorkingPrecision->250], 10, 200][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, Mar 04 2014
STATUS
approved