

A248660


Simple continued fraction expansion of the constant defined in A037077.


0



0, 5, 3, 10, 1, 1, 4, 1, 1, 1, 1, 9, 1, 1, 12, 2, 17, 2, 2, 1, 1, 17, 1, 6, 4, 1, 3, 3, 4, 2, 1, 262, 2, 1, 4, 1, 49, 2, 1, 9, 1, 2, 1, 1, 4, 23, 26, 6, 6, 5, 3, 3, 1, 1, 1, 144, 9, 1, 1, 5, 1, 3, 1, 1, 5, 13, 8619, 2, 1, 45, 2, 1, 1, 2, 1, 4, 5, 1, 7, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 6, 3, 1, 1, 2, 2, 7, 3, 136, 1
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OFFSET

1,2


COMMENTS

A037077 is sometimes called the MRB constant.


REFERENCES

S. R. Finch, Mathematical Constants, Cambridge, 2003, p. 450.


LINKS



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



STATUS

approved



