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A073834 Denominators of b(n) where b(1) = 1, b(i) = b(i-1) + 1/b(i-1). 3
1, 1, 2, 10, 290, 272890, 264588959090, 268440386798659418988490, 295105036840595214385430531020664149472669868290, 377908709746050392481071609609580527436122569261424131112048023467330784739529329885668846964890 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

a(n) is also the denominator of the fractional chromatic number of the Mycielski graph M_n - Eric W. Weisstein (eric(AT)weisstein.com), Mar 05 2011

REFERENCES

H. L. Montgomery, Ten Lectures on the Interface Between Analytic Number Theory and Harmonic Analysis, Amer. Math. Soc., 1996, p. 187.

D. J. Newman, A Problem Seminar, Springer; see Problem #60.

LINKS

Eric Weisstein's World of Mathematics, Fractional Chromatic Number

MATHEMATICA

f[n_]:=n+1/n; Prepend[Denominator[NestList[f, 2, 9]], 1] (* Vladimir Joseph Stephan Orlovsky (4vladimir(AT)gmail.com), Nov 19 2010 *)

Denominator[NestList[# + 1/# &, 1, 10]] (* Eric W. Weisstein (eric(AT)weisstin.com), Mar 05 2011 *)

CROSSREFS

See A073833 for numerators.

Sequence in context: A098706 A143249 A161181 * A111837 A092123 A079278

Adjacent sequences:  A073831 A073832 A073833 * A073835 A073836 A073837

KEYWORD

frac,nonn

AUTHOR

Alex Fink (finks(AT)telus.net), Aug 12 2002

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Last modified February 17 08:34 EST 2012. Contains 205998 sequences.