A329992 Decimal expansion of the solution of 1/x^2 + 1/2^x = 1.

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

Offset

1,2

Links

Table of n, a(n) for n=1..86.

Formula

x^2 + 2^x = x^2 * 2^x.

Example

x = 1.298192...

Mathematica

r = x /. FindRoot[1/x^2 + 1/2^x == 1, {x, 1, 10}, WorkingPrecision -> 120]
RealDigits[r][[1]]  (* A329992 *)
Plot[1/x^2 + 1/2^x - 1, {x, 1, 2}]

Crossrefs

Cf. A329993, A329994.

Sequence in context: A340724 A199181 A011071 * A125124 A011446 A255189

Adjacent sequences: A329989 A329990 A329991 * A329993 A329994 A329995

Keyword

nonn,cons,easy

Author

Clark Kimberling, Jan 02 2020

Status

approved