A103561 Decimal expansion of solution to x^(13^x) = 13.

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

Offset

1,3

Links

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

Example

x = 1.145506428410874570183107352890549124282333449076566322759300026...

Mathematica

RealDigits[ FindRoot[x^(13^x) == 13, {x, 1}, WorkingPrecision -> 2^7] [[1, 2]]][[1]] (* Robert G. Wilson v, Mar 26 2005 *)

Prog

(PARI) solve(x=1, 2, x^13^x-13) \\ Charles R Greathouse IV, Apr 25 2016

Crossrefs

Cf. A104750, A104751, A104752, A104753, A104754, A104755, A104756, A104757, A104758, A104759, A104760, A104761.

Sequence in context: A247858 A247860 A196756 * A309949 A198571 A119822

Adjacent sequences: A103558 A103559 A103560 * A103562 A103563 A103564

Keyword

nonn,cons

Author

Zak Seidov, Mar 23 2005

Extensions

More terms from Robert G. Wilson v, Mar 26 2005

Status

approved