A103561 - OEIS

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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

(list; constant; graph; refs; listen; history; text; internal format)

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