This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A120340 #5 Mar 30 2012 18:36:04 %S A120340 1,1,4,3,13,9,302,207,43255,29601,58966432,40346163,1700782246897, %T A120340 1163704379409,687683872186748,470524470741039,209415712651415308217, %U A120340 143285523403473419397,552462361711804327497414320 %N A120340 Sequence of pairs numerator(s(n)), denominator(s(n)) where s(n) is the n-th partial sum of 1/A119751(n). %C A120340 There are only 11 terms of A119751 known and s(11) is 1.4615274858438132136894180577690622581842692760227 to 50 decimal places. What is sum(1/A119751(k),k=1..infinity)? %F A120340 a(2n-1) = numerator(s(n)), a(2n)=denominator(s(n)), where s(n)=sum(1/A119751(k),k=1..n). %e A120340 a(5)=13, a(6)=9 since s(3)=1+1/3+1/9=13/9. %Y A120340 Cf. A119751, A119753. %K A120340 nonn %O A120340 1,3 %A A120340 _Walter Kehowski_, Jun 23 2006 %E A120340 This is not really a sequence. The standard OEIS convention would be to split this into two cross-referenced sequences with keyword "frac". - _N. J. A. Sloane_, Jul 22 2006