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Decimal expansion of the positive root of x^(x^x) = e.
3

%I #16 Jan 26 2020 14:44:56

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

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

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

%N Decimal expansion of the positive root of x^(x^x) = e.

%e 1.6010751539237287793270647677478354595315958049634528907721820991...

%o (PARI) default(realprecision,2000);solve(x=0.01, 2, x^(x^x)-exp(1))

%Y Cf. A001113, A264807.

%K nonn,cons

%O 1,2

%A _Anders Hellström_, Nov 25 2015