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A341826 Decimal expansion of the largest real root of Gamma(x+1) = e. 0
2, 3, 1, 2, 4, 4, 0, 8, 8, 2, 5, 3, 9, 1, 6, 0, 3, 7, 0, 2, 7, 6, 0, 9, 8, 7, 5, 2, 3, 8, 0, 9, 6, 0, 2, 5, 9, 8, 1, 2, 0, 4, 5, 9, 5, 8, 2, 9, 4, 6, 3, 2, 7, 3, 0, 0, 9, 9, 8, 1, 4, 5, 5, 3, 9, 7, 5, 4, 5, 3, 1, 2, 0, 3, 2, 1, 1, 2, 7, 3, 3, 3, 1, 1, 2, 9, 4, 3, 8, 2, 7, 1, 2, 0, 0, 6, 8, 1, 7, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Decimal expansion of the root of Gamma(x+1)/log(Gamma(x+1)) = Gamma(x+1).
LINKS
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
Cf. A001113.
Sequence in context: A048232 A163256 A199263 * A257669 A181803 A144962
KEYWORD
nonn,cons
AUTHOR
Michael P. May, Feb 20 2021
STATUS
approved

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Last modified March 29 01:36 EDT 2024. Contains 371264 sequences. (Running on oeis4.)