login
Decimal expansion of the solution of 1/x^2 + 1/2^x = 1.
3

%I #8 Jan 04 2020 17:33:54

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

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

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

%N Decimal expansion of the solution of 1/x^2 + 1/2^x = 1.

%F x^2 + 2^x = x^2 * 2^x.

%e x = 1.298192...

%t r = x /. FindRoot[1/x^2 + 1/2^x == 1, {x, 1, 10}, WorkingPrecision -> 120]

%t RealDigits[r][[1]] (* A329992 *)

%t Plot[1/x^2 + 1/2^x - 1, {x, 1, 2}]

%Y Cf. A329993, A329994.

%K nonn,cons,easy

%O 1,2

%A _Clark Kimberling_, Jan 02 2020