OFFSET
1,2
COMMENTS
A rational approximation (correct up to the 8th decimal digit) is 41977/22948.
Continued fraction: [0, 1, 1, 4, 1, 5, 1, 12, 6, 7, 1, 16, 1, 9, 8, ...].
EXAMPLE
1.8292225917880443628028702226661514921758757714837386534...
MAPLE
with(numtheory); P:=proc(q) local a, n, p; a:=0;
for n from q by -1 to 1 do
a:=1/(a+n*add(op(2, p)/op(1, p), p=ifactors(n)[2]));
od; print(evalf(a, 200)); end: P(10^3);
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Paolo P. Lava, Apr 15 2019
STATUS
approved