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Decimal expansion of the only solution of x^(4/x^2) = x - 1.
0

%I #23 Jan 07 2022 01:34:12

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

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

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

%N Decimal expansion of the only solution of x^(4/x^2) = x - 1.

%C Close to e (the relative error is smaller than 7.7*10^-6).

%e 2.7183026681753487...

%o (PARI)

%o default(realprecision,110);

%o solve(x=2.7,2.8,x^(4/x^2)-(x-1))

%o /* _Joerg Arndt_, May 07 2012 */

%Y Cf. A001113 (decimal expansion of e).

%K nonn,cons

%O 1,1

%A _Stanislav Sykora_, May 06 2012