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A358661
Decimal expansion of the solution to (1 - (x + 1)^(x^2 - 1)) / x = (1 - (x - 1)^(x - 1)) / (x - 2).
3
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
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
KEYWORD
nonn,cons
AUTHOR
Wesley Ivan Hurt, Nov 25 2022
STATUS
approved