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A078335 Decimal expansion of largest real root of e^x = Gamma(x+1). 2
5, 2, 9, 0, 3, 1, 6, 0, 9, 3, 1, 1, 9, 7, 7, 0, 7, 1, 0, 7, 2, 2, 2, 2, 5, 8, 1, 8, 6, 3, 1, 1, 7, 2, 7, 4, 7, 9, 9, 9, 8, 2, 0, 1, 8, 8, 3, 0, 7, 5, 4, 4, 2, 9, 2, 3, 9, 4, 6, 5, 3, 2, 5, 9, 5, 6, 1, 5, 5, 5, 0, 8, 9, 8, 7, 3, 3, 6, 1, 7, 9, 8, 1, 2, 3, 2, 3, 1, 6, 6, 7, 7, 0, 4, 2, 6, 6, 2, 0, 1, 0, 7, 9, 9, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This number corresponds to the point where the Gamma function starts to exceed the exponential function.

LINKS

Table of n, a(n) for n=1..105.

Robert Munafo, Notable Properties of Specific Numbers

EXAMPLE

x = 5.290316...

MATHEMATICA

digits = 105; x /. FindRoot[E^x == Gamma[x+1], {x, 5}, WorkingPrecision -> digits+5] // RealDigits[#, 10, digits]& // First (* Jean-Fran├žois Alcover, Mar 05 2013 *)

PROG

(PARI) solve(x=5.2, 5.3, exp(x)-gamma(1+x))

CROSSREFS

Sequence in context: A179951 A198192 A046878 * A021658 A270859 A248749

Adjacent sequences:  A078332 A078333 A078334 * A078336 A078337 A078338

KEYWORD

cons,nonn

AUTHOR

Robert G. Wilson v, Nov 21 2002

EXTENSIONS

More terms from Benoit Cloitre, Nov 25 2002

STATUS

approved

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Last modified December 3 18:47 EST 2016. Contains 278745 sequences.