A358663 Decimal expansion of the solution to (1 - (x + 1)^(x^2 - 1))/x = (1 - (x - 1)^(x + 1))/(x - 2).

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

Offset

1,2

Links

Table of n, a(n) for n=1..90.

Formula

Decimal expansion of the solution to (1 - a^(ab))/(1 - a) = (1 - b^a)/(1 - b), where a = x + 1 and b = x - 1.

Example

x = 1.547227193809372750201822...

Mathematica

RealDigits[x /. FindRoot[(1 - (x + 1)^((x - 1) (x + 1)))/x == (1 - (x - 1)^(x + 1))/(x - 2), {x, 1.5}, WorkingPrecision -> 100]][[1]]

Crossrefs

Cf. A001622, A358661, A358662.

Sequence in context: A199276 A373009 A293380 * A021870 A210974 A177161

Adjacent sequences: A358660 A358661 A358662 * A358664 A358665 A358666

Keyword

nonn,cons

Author

Wesley Ivan Hurt, Nov 25 2022

Status

approved