OFFSET
0,2
COMMENTS
A037077 is sometimes called the MRB constant.
REFERENCES
S. R. Finch, Mathematical Constants, Cambridge, 2003, p. 450.
LINKS
Eric Weisstein's World of Mathematics, MRB Constant
MAPLE
MRB:= Sum((-1)^k*(k^(1/k)-1), k=1..infinity):
V:= evalf[150](MRB):
subs(`...`=NULL, numtheory:-cfrac(V, 100, 'quotients')); # Robert Israel, Jan 12 2015
MATHEMATICA
m = NSum[(-1)^n*(n^(1/n) - 1), {n, 1, Infinity},
WorkingPrecision -> 100, Method -> "AlternatingSigns"];
ContinuedFraction[m]
PROG
(PARI) contfrac(sumalt(x=1, (-1)^x*((x^(1/x))-1)) ) \\ Michel Marcus, Jan 12 2015
CROSSREFS
KEYWORD
nonn,cofr
AUTHOR
Marvin Ray Burns, Jan 11 2015
STATUS
approved