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Search: id:A073833
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| A073833 |
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Numerators of b(n) where b(1) = 1, b(i) = b(i-1) + 1/b(i-1). |
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+0
4
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| 1, 2, 5, 29, 941, 969581, 1014556267661, 1099331737522548368039021, 1280590510388959061548230114212510564911731118541, 17269990380669437248575086385863865042815392793760910340864851121501213389899778\ 41573308941492781
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Lim n -> infinity (1/n)*exp(2*(b(n)^2-2n)) = c = 0.57...... - Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 16 2002
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REFERENCES
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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.
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FORMULA
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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]
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EXAMPLE
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1, 2, 5/2, 29/10, 941/290, 969581/272890, 1014556267661/264588959090, 1099331737522548368039021/268440386798659418988490, ...
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CROSSREFS
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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
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KEYWORD
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frac,nonn
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AUTHOR
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Alex Fink (finks(AT)telus.net), Aug 12 2002
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