A237421 Decimal expansion of the root of the equation (1-r)^(2*r) = r^(2*r+1).

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

Author

Vaclav Kotesovec, Mar 04 2014

Keywords

• nonn
• cons

Examples

			0.6032326837741362...
		

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 0..105

Crossrefs

Cf. A206152, A227403, A220359.

Programs

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]]