A358661 Decimal expansion of the solution to (1 - (x + 1)^(x^2 - 1)) / x = (1 - (x - 1)^(x - 1)) / (x - 2).

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

Offset

1,3

Links

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

Formula

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

Example

x = 1.198688307687289722227243...

Mathematica

RealDigits[x /. FindRoot[(1 - (x + 1)^(x^2 - 1))/x == (1 - (x - 1)^(x - 1))/(x - 2), {x, 1.2}, WorkingPrecision -> 100]][[1]]

Crossrefs

Cf. A001622, A358662, A358663.

Sequence in context: A132721 A309948 A086053 * A129269 A094145 A002388

Adjacent sequences: A358658 A358659 A358660 * A358662 A358663 A358664

Keyword

nonn,cons

Author

Wesley Ivan Hurt, Nov 25 2022

Status

approved