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 A120342 #5 Mar 30 2012 18:36:04 %S A120342 1,2,5,8,39,56,443,616,1783,2464,51819,71456,4720633,6502496,4722257, %T A120342 6502496,797359442331,1097952952096,878673909876949097, %U A120342 1209921096197797984,1351031156635237614515155 %N A120342 Sequence of pairs numerator(s(n)), denominator(s(n)) where s(n) is the n-th partial sum of 1/A119752(n). %C A120342 There are only 12 terms of A119752 known and s(12) is 0.72622446726779027806723655668104871423264641644675 to 50 decimal places. What is sum(1/A119752(k),k=1..infinity)? %F A120342 a(2n-1) = numerator(s(n)), a(2n)=denominator(s(n)), where s(n)=sum(1/A119752(k),k=1..n). %e A120342 a(5)=39, a(6)=56 since s(3)=1/2+1/8+1/14=39/56. %Y A120342 Cf. A119752, A119754. %K A120342 nonn %O A120342 1,2 %A A120342 _Walter Kehowski_, Jun 23 2006 %E A120342 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