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 A179479 #9 Feb 22 2019 02:04:14 %S A179479 3,5,7,11,13,17,19,29,43,53,67,71,79,97 %N A179479 a(n) is the smallest prime q > a(n-1) such that, for the previous prime p and the following prime r, the fraction (q-p)/(r-q) has denominator 2, for odd n and 1 for even n (or 0, if such a prime does not exist). %C A179479 Conjecture: a(n) > 0 for all n. %C A179479 Since, as it is accepted in the OEIS, we consider the uncancelled fractions, then, by the condition, for even n, we have (r-q)|(q-p). %e A179479 If n=1, then denominator should be 2. Thus a(1)=3, since (3-2)/(5-3)=1/2. If n=2, then denominator should be 1. Thus a(2)=5, since (5-3)/(7-5)=1/1, etc. %Y A179479 Cf. A168253, A179210, A179234, A179240, A179256, A179328. %K A179479 nonn %O A179479 1,1 %A A179479 _Vladimir Shevelev_, Jan 08 2011