|
| |
|
|
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
|
| |
|
|