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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A037077 is sometimes called the MRB constant.

REFERENCES

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

LINKS

Table of n, a(n) for n=1..99.

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

Sequence in context: A108245 A228789 A221715 * A141620 A195140 A049829

Adjacent sequences:  A248657 A248658 A248659 * A248661 A248662 A248663

KEYWORD

nonn,cofr

AUTHOR

Marvin Ray Burns, Jan 11 2015

STATUS

approved

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Last modified June 17 05:39 EDT 2019. Contains 324183 sequences. (Running on oeis4.)