A336763 - OEIS

%I #15 Jul 05 2024 10:39:17

%S 7,4,6,3,6,0,3,2,8,3,7,7,6,4,4,6,1,3,7,8,1,0,5,0,1,0,9,5,8,4,5,3,1,8,

%T 5,8,9,6,1,5,4,8,8,6,3,6,5,1,3,8,4,2,5,4,4,5,6,2,5,4,3,7,4,2,8,5,4,3,

%U 2,0,2,5,1,8,8,3,3,1,7,3,9,4,1,9,1,5,2,2,6,8,6,5,0,1,6,3,9,6,1,4,8,6,3,7

%N Decimal expansion of largest real root of e^x = Gamma(x).

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

%e x = 7.46360328377644613...

%t RealDigits[x /. FindRoot[Exp[x] == Gamma[x], {x, 7}, WorkingPrecision -> 120]][[1]] (* _Amiram Eldar_, Jun 11 2023 *)

%o (PARI) solve(x=7.4, 7.5, exp(x)-gamma(x))

%Y Cf. A078335.

%K nonn,cons

%O 1,1

%A _Daniel Hoyt_, Aug 03 2020