Search: id:A073833 Results 1-1 of 1 results found. %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 Search completed in 0.001 seconds