A330380 - OEIS

A330380

Decimal expansion of the y-coordinate for the largest solution to e^x = Gamma(x+1).

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

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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...