OFFSET
1,1
COMMENTS
Decimal expansion of the root of Gamma(x+1)/log(Gamma(x+1)) = Gamma(x+1).
FORMULA
{x| Gamma(x+1)/log(Gamma(x+1))=Gamma(x+1)}.
EXAMPLE
2.3124408825391603702...
MATHEMATICA
RealDigits[x /. FindRoot[Gamma[x+1] - E, {x, 2}, WorkingPrecision -> 120], 10, 100][[1]] (* Amiram Eldar, May 29 2021 *)
PROG
(PARI) solve(x=2, 3, gamma(x+1)/log(gamma(x+1))-gamma(x+1)) \\ Michel Marcus, Feb 21 2021
(PARI) solve(x=2, 3, gamma(x+1) - exp(1)) \\ Michel Marcus, Feb 21 2021
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Michael P. May, Feb 20 2021
STATUS
approved