A363290 - OEIS

%I #15 Jul 06 2023 13:48:29

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

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

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

%N Decimal expansion of the unique x > 0 such that Sum_{n>=0} 1/x^(n!) = 1.

%F x = 2.424410449015653236372374597079497084...

%e For x = 2.4244... and remembering that 0! = 1, we have Sum_{n >= 0} 1/x^n! ~ 2 * 1/2.4244 + 1/2.4244^2 + 1/2.4244^6 + 1/2.4244^24 = 1.0000...

%o (PARI) default(realprecision, 100); solve(x=2,3, sum(n=0,19, x^-n!)-1)

%Y Cf. A076187.

%K nonn,cons

%O 1,1

%A _M. F. Hasler_, May 26 2023