A104755 Decimal expansion of solution to x^(7^x) = 7.

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

Offset

1,2

Links

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

Example

1.20505342619639174933809636565493210686651118571893...

Mathematica

RealDigits[x /. FindRoot[x^(7^x) == 7, {x, 1}, WorkingPrecision -> 120]][[1]] (* Amiram Eldar, May 04 2023 *)

Prog

(PARI) solve(x = 1, 2, x^(7^x) - 7) \\ Amiram Eldar, May 04 2023

Crossrefs

Cf. A103561, A104750, A104751, A104752, A104753, A104754, A104756, A104757.

Sequence in context: A369743 A369907 A257013 * A242690 A054013 A048050

Adjacent sequences: A104752 A104753 A104754 * A104756 A104757 A104758

Keyword

cons,nonn

Author

Zak Seidov, Mar 23 2005

Extensions

More terms from Amiram Eldar, May 04 2023

Status

approved