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A277067 Decimal expansion of value of x such that the solution y to the equation x^y = y has equal real and imaginary parts. 1
7, 5, 0, 0, 4, 5, 2, 5, 6, 4, 6, 0, 1, 5, 1, 7, 1, 1, 2, 3, 7, 8, 5, 2, 9, 9, 3, 0, 3, 6, 8, 2, 2, 4, 1, 5, 5, 2, 5, 2, 1, 0, 9, 6, 1, 0, 7, 5, 1, 4, 7, 2, 5, 0, 9, 3, 7, 2, 0, 5, 3, 1, 7, 9, 8, 2, 7, 9, 3, 7, 7, 4, 6, 5, 3, 7, 8, 1, 1, 3, 7, 8, 4, 0, 8, 2, 1, 1, 7, 4, 9, 2, 1, 1, 6, 1, 5, 9, 4, 8, 7, 8, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

It is not known if this number has a closed form.

LINKS

Table of n, a(n) for n=0..102.

FORMULA

The solution to x^y=y is y=-ProductLog(-log(x))/log(x).

EXAMPLE

-0.750045256460151711237852993036822415525210961075147250937205...

MATHEMATICA

FindRoot[Re[-ProductLog[-Log[x]]/Log[x]] - Im[-ProductLog[-Log[x]]/Log[x]], {x, -0.76, -0.74}, WorkingPrecision -> 261]

CROSSREFS

Cf. A042972, A073229, A277069.

Sequence in context: A239602 A100976 A152627 * A241902 A113223 A096414

Adjacent sequences:  A277064 A277065 A277066 * A277068 A277069 A277070

KEYWORD

cons,nonn

AUTHOR

David D. Acker, Sep 27 2016

STATUS

approved

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Last modified May 20 10:25 EDT 2022. Contains 353871 sequences. (Running on oeis4.)