A341826 Decimal expansion of the largest real root of Gamma(x+1) = e.

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

Offset

1,1

Comments

Decimal expansion of the root of Gamma(x+1)/log(Gamma(x+1)) = Gamma(x+1).

Links

Table of n, a(n) for n=1..100.

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 * A372479 A257669 A181803

Adjacent sequences: A341823 A341824 A341825 * A341827 A341828 A341829

Keyword

nonn,cons

Author

Michael P. May, Feb 20 2021

Status

approved