%I A073833
%S A073833 1,2,5,29,941,969581,1014556267661,1099331737522548368039021,
%T A073833 1280590510388959061548230114212510564911731118541,
%U A073833 1726999038066943724857508638586386504281539279376091034086485112150121338989977841573308941492781
%N A073833 Numerators of b(n) where b(1) = 1, b(i) = b(i-1) + 1/b(i-1).
%C A073833 Lim n -> infinity (1/n)*exp(2*(b(n)^2-2n)) = c = 0.57...... - Benoit 
               Cloitre (benoit7848c(AT)orange.fr), Oct 16 2002
%D A073833 H. L. Montgomery, Ten Lectures on the Interface Between Analytic Number 
               Theory and Harmonic Analysis, Amer. Math. Soc., 1996, p. 187.
%D A073833 D. J. Newman, A Problem Seminar, Springer; see Problem #60.
%F A073833 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]
%e A073833 1, 2, 5/2, 29/10, 941/290, 969581/272890, 1014556267661/264588959090, 
               1099331737522548368039021/268440386798659418988490, ...
%Y A073833 See A073834 for denominators.
%Y A073833 Sequence in context: A059784 A000283 A121910 this_sequence A086383 A118612 
               A158866
%Y A073833 Adjacent sequences: A073830 A073831 A073832 this_sequence A073834 A073835 
               A073836
%K A073833 frac,nonn
%O A073833 1,2
%A A073833 Alex Fink (finks(AT)telus.net), Aug 12 2002