A363290 Decimal expansion of the unique x > 0 such that Sum_{n>=0} 1/x^(n!) = 1.

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, 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, 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

Offset

1,1

Links

Table of n, a(n) for n=1..97.

Formula

x = 2.424410449015653236372374597079497084...

Example

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...

Prog

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

Crossrefs

Cf. A076187.

Sequence in context: A074075 A184186 A004020 * A246436 A143235 A069465

Adjacent sequences: A363287 A363288 A363289 * A363291 A363292 A363293

Keyword

nonn,cons

Author

M. F. Hasler, May 26 2023

Status

approved