OFFSET
1,4
COMMENTS
Is this a finite sequence? (or equivalently, is this constant rational?)
Unlikely: the "apparent" rationality seems to be caused by the rapid growth of the denominators; one may instead speculate that the value is transcendental. - Joerg Arndt, Feb 05 2013
The constant is approximately 257/256 (see A021260).
EXAMPLE
1.00390625000000000000000000... = 1 + 1/2^8 + 1/3^243 + 1/4^16384+...
PROG
(PARI) suminf(n=1, 1/n^(n^prime(n)))
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Balarka Sen, Aug 18 2012
STATUS
approved