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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 December 1 22:24 EST 2023. Contains 367502 sequences. (Running on oeis4.)