|
Search: id:A073833
|
|
|
| A073833 |
|
Numerators of b(n) where b(1) = 1, b(i) = b(i-1) + 1/b(i-1). |
|
+0
4
|
|
| 1, 2, 5, 29, 941, 969581, 1014556267661, 1099331737522548368039021, 1280590510388959061548230114212510564911731118541, 17269990380669437248575086385863865042815392793760910340864851121501213389899778\ 41573308941492781
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Lim n -> infinity (1/n)*exp(2*(b(n)^2-2n)) = c = 0.57...... - Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 16 2002
|
|
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.
|
|
FORMULA
|
a(n) = a(n-1)^2 + A073834(n-1)^2; A073834(n) = a(n-1) * A073834(n-1). [From Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Aug 04 2008]
|
|
EXAMPLE
|
1, 2, 5/2, 29/10, 941/290, 969581/272890, 1014556267661/264588959090, 1099331737522548368039021/268440386798659418988490, ...
|
|
CROSSREFS
|
See A073834 for denominators.
Sequence in context: A059784 A000283 A121910 this_sequence A086383 A118612 A158866
Adjacent sequences: A073830 A073831 A073832 this_sequence A073834 A073835 A073836
|
|
KEYWORD
|
frac,nonn
|
|
AUTHOR
|
Alex Fink (finks(AT)telus.net), Aug 12 2002
|
|
|
Search completed in 0.002 seconds
|
