A104750 Decimal expansion of solution to x^(2^x) = 2.

1, 3, 1, 9, 9, 9, 7, 8, 1, 7, 8, 6, 8, 7, 1, 1, 2, 8, 9, 2, 9, 3, 9, 4, 3, 8, 5, 5, 1, 5, 9, 1, 6, 8, 0, 4, 7, 0, 5, 9, 5, 0, 8, 2, 0, 9, 8, 1, 4, 9, 3, 5, 3, 9, 9, 6, 8, 9, 3, 4, 7, 3, 5, 7, 2, 7, 6, 2, 9, 7, 6, 4, 5, 6, 2, 2, 5, 0, 4, 8, 3, 7, 8, 6, 5, 3, 9, 0, 8, 8, 3, 2, 4, 5, 8, 3, 9, 0, 2, 4, 9, 9, 5, 2, 5

Offset

1,2

Links

Table of n, a(n) for n=1..105.

Example

1.31999781786871128929394385515916804705950820981493...

Mathematica

RealDigits[x /. FindRoot[x^(2^x) == 2, {x, 1}, WorkingPrecision -> 120]][[1]] (* Amiram Eldar, May 04 2023 *)

Prog

(PARI) solve(x = 1, 2, x^(2^x) - 2) \\ Amiram Eldar, May 04 2023

Crossrefs

Cf. A103561, A104751, A104752, A104753, A104754, A104755, A104756, A104757.

Sequence in context: A021973 A075498 A105729 * A342355 A163394 A225469

Adjacent sequences: A104747 A104748 A104749 * A104751 A104752 A104753

Keyword

cons,nonn

Author

Zak Seidov, Mar 23 2005

Extensions

More terms from Amiram Eldar, May 04 2023

Status

approved