%I #21 Nov 25 2020 21:00:53
%S 1,0,0,3,9,0,6,2,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
%T 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
%U 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1
%N Decimal expansion of Sum_{n>=1} 1/n^(n^prime(n)).
%C Is this a finite sequence? (or equivalently, is this constant rational?)
%C 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
%C The constant is approximately 257/256 (see A021260).
%e 1.00390625000000000000000000... = 1 + 1/2^8 + 1/3^243 + 1/4^16384+...
%o (PARI) suminf(n=1,1/n^(n^prime(n)))
%Y Cf. A062481.
%K cons,nonn
%O 1,4
%A _Balarka Sen_, Aug 18 2012