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 A076842 #7 Oct 04 2012 07:38:40 %S A076842 1,1,3,5,3,9,29,71,751,5095,117707,8786157,1495204807,869159527657, %T A076842 10563805576326283,3058448407404141530011, %U A076842 21945047981309619478239602921,78849616271246494204031567399858651677,163732240861295155285004461265839986271194799721161 %N A076842 Numerators of sequence of fractions defined by a(1) = a(2) = 1; for n > 2, a(n) = (a(n-1)+a(n-2)+1)/a(n-2). %e A076842 1, 1, 3, 5, 3, 9/5, 29/15, 71/27, 751/261, 5095/2059, 117707/53321, ... %p A076842 a := 1; b := 1; f := proc(n) option remember; global a,b; if n=1 then RETURN(a); fi; if n=2 then RETURN(b); fi; RETURN((f(n-1)+f(n-2)+1)/f(n-2)); end; %Y A076842 Cf. A076843, A076844. %K A076842 nonn,frac %O A076842 1,3 %A A076842 _N. J. A. Sloane_, Nov 21 2002