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A330380 Decimal expansion of the y-coordinate for the largest solution to e^x = Gamma(x+1). 0
1, 9, 8, 4, 0, 6, 1, 3, 0, 3, 1, 1, 2, 7, 6, 7, 7, 6, 9, 1, 1, 5, 0, 4, 2, 7, 2, 6, 0, 1, 9, 4, 7, 4, 8, 1, 5, 6, 2, 4, 2, 3, 0, 3, 8, 2, 9, 8, 2, 5, 2, 8, 7, 6, 3, 0, 6, 6, 9, 6, 4, 9, 9, 2, 2, 5, 5, 8, 3, 4, 1, 7, 4, 3, 3, 8, 8, 7, 6, 1, 2, 7, 3, 4, 9, 9, 1, 3, 6, 1, 2, 4, 8, 3, 3, 9, 3, 1, 1, 2, 8, 5, 1, 0, 4, 0, 4, 4, 9, 2, 4, 4, 7, 2, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

3,2

COMMENTS

This number is the y-coordinate of the point at which the factorial function, Gamma(x+1), begins to exceed the exponential function.

LINKS

Table of n, a(n) for n=3..117.

Robert Munafo, Notable Properties of Specific Numbers

FORMULA

Equals exp(A078335).

EXAMPLE

x = 5.29031609311977071072...

y = 198.40406130311276776911...

PROG

(PARI) \p200

exp(solve (x=5, 6, exp(x)-gamma(x+1))) \\ Hugo Pfoertner, Dec 12 2019

CROSSREFS

Cf. A078335.

Sequence in context: A155532 A086306 A094139 * A021508 A199862 A019720

Adjacent sequences:  A330373 A330374 A330377 * A330381 A330382 A330384

KEYWORD

nonn,cons

AUTHOR

Eliora Ben-Gurion, Dec 12 2019

STATUS

approved

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Last modified February 26 05:51 EST 2020. Contains 332277 sequences. (Running on oeis4.)