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A319275
Decimal expansion of the positive solution to x! = 3.
4
2, 4, 0, 5, 8, 6, 9, 9, 8, 6, 3, 0, 9, 5, 6, 6, 9, 2, 4, 6, 9, 9, 9, 2, 9, 2, 1, 8, 3, 7, 5, 5, 5, 8, 0, 0, 9, 5, 9, 5, 3, 9, 5, 7, 9, 9, 3, 2, 8, 9, 8, 1, 3, 9, 4, 3, 1, 2, 9, 4, 1, 6, 2, 6, 2, 7, 7, 1, 4, 8, 0, 4, 6, 9, 2, 4, 9, 5, 4, 3, 9, 7
OFFSET
1,1
COMMENTS
Obviously, x! means Gamma(x+1) = Integral(t^x e^-t, t=0..oo). - M. F. Hasler, Jun 14 2024
LINKS
EXAMPLE
2.4058699863095669246999292183755580095953957993289...
MATHEMATICA
RealDigits[x /. FindRoot[x! - 3, {x, 2}, WorkingPrecision -> 120]][[1]] (* Amiram Eldar, May 31 2023 *)
PROG
(PARI) default(realprecision, 100); solve(x=2, 3, gamma(x+1)-3)
CROSSREFS
The positive solution to x! = n: this sequence (n=3), A319276 (n=4), A319277 (n=5), A129624 (n=40).
Sequence in context: A097666 A144810 A300753 * A269011 A274086 A255982
KEYWORD
nonn,cons
AUTHOR
Jianing Song, Sep 16 2018
STATUS
approved