A358662 Decimal expansion of the solution to (1 - (x + 1)^(x^2 - 1))/x = (1 - (x - 1)^x)/(x - 2).

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

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^(b + 1))/(1 - b), where a = x + 1 and b = x - 1.

Example

x = 1.470410841452858557160867...

Mathematica

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

Crossrefs

Cf. A001622, A358661, A358663.

Sequence in context: A058377 A023961 A147863 * A019976 A021072 A195791

Adjacent sequences: A358659 A358660 A358661 * A358663 A358664 A358665

Keyword

nonn,cons

Author

Wesley Ivan Hurt, Nov 25 2022

Status

approved