OFFSET
1,2
LINKS
Eric Weisstein's World of Mathematics, Pi.
Eric Weisstein's World of Mathematics, e.
Eric Weisstein's World of Mathematics, Transcendental Equation.
FORMULA
Equals -Pi*LambertW(-1/Pi). - Vaclav Kotesovec, Apr 11 2021
EXAMPLE
1.73989894968180900...
MATHEMATICA
RealDigits[x/.FindRoot[x^Pi==E^x, {x, 1}, WorkingPrecision->130]][[1]] (* Harvey P. Dale, Jul 15 2012 *)
RealDigits[ -Pi*ProductLog[-1/Pi], 10, 103] // First (* Jean-François Alcover, Feb 27 2013 *)
PROG
(PARI) solve(x=1, 2, exp(x)-x^Pi) \\ Charles R Greathouse IV, Apr 15 2014
CROSSREFS
KEYWORD
AUTHOR
Jonathan Vos Post, Apr 10 2005
EXTENSIONS
Corrected and extended by Harvey P. Dale, Jul 15 2012
STATUS
approved