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Decimal expansion of solution to x^(2^x) = 2.
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%I #10 May 04 2023 02:34:43

%S 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,

%T 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,

%U 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

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

%e 1.31999781786871128929394385515916804705950820981493...

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

%o (PARI) solve(x = 1, 2, x^(2^x) - 2) \\ _Amiram Eldar_, May 04 2023

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

%K cons,nonn

%O 1,2

%A _Zak Seidov_, Mar 23 2005

%E More terms from _Amiram Eldar_, May 04 2023