OFFSET
1,2
COMMENTS
Equal to log(2*exp(1/2*log(3*exp(1/3*log(4*exp(...)))))). - Rok Cestnik, Jan 31 2019
EXAMPLE
1.55867043642538904...
MATHEMATICA
NSum[ Log[n + 1]/n!, {n, 1, Infinity}, WorkingPrecision -> 110, NSumTerms -> 100] // RealDigits[#, 10, 105]& // First (* Jean-François Alcover, Feb 20 2013 *)
PROG
(PARI) suminf(n=1, log(n+1)/n!) \\ Michel Marcus, Jan 31 2019
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
N. J. A. Sloane, Aug 23 2011, based on a posting by Richard C. Schroeppel to the Math Fun Mailing List
EXTENSIONS
More terms from Alois P. Heinz, Aug 28 2011
STATUS
approved