

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



