OFFSET
1,1
COMMENTS
The sum has 18 8's in a row within the first 23 decimal places.
1801/720 approximates this constant to 23 significant digits.
EXAMPLE
2.5013888888888888888888905006...
MAPLE
evalf(sum(1/(k!)!, k=0..infinity), 112); # Alois P. Heinz, Nov 20 2020
MATHEMATICA
RealDigits[Sum[1/(k!)!, {k, 0, 4}], 10, 100][[1]] (* Amiram Eldar, Nov 21 2020 *)
PROG
(PARI) suminf(k=0, 1/(k!)!)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Daniel Hoyt, Nov 20 2020
STATUS
approved