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 A164986 #2 Mar 30 2012 17:36:45 %S A164986 50,1682,3971273138702695316402, %T A164986 367680737852094722224630791187352516632102802 %N A164986 Numbers of the form 2p^2 = q^2 + 1, where p and q are primes. %C A164986 A079704 INTERSECT A002522. Subsequence of A088920 (Solutions k to the Diophantine equation k = 2n^2 = m^2+1): those terms for which associated m in A002315 and n in A001653 are both prime. %C A164986 Corresponding p are prime Pell numbers (prime denominators of continued fraction convergents to sqrt(2)). %C A164986 Corresponding q are prime numerators of the continued fraction convergents to sqrt(2). %C A164986 Corresponding p, q, p^2, q^2, (p,q), (q,p), etc., form subsequences of many other OEIS sequences; see cross-references. %C A164986 Any further terms are too large to include here. %F A164986 a(n) = 2*(A118612(n+1))^2 = (A086397(n+1))^2 + 1. %e A164986 a(1) = 50 as 50 = 2*5^2 = 7^2 + 1, where 5 and 7 are prime. %Y A164986 Cf. A088920, A118612, A086397, A086395, A002315 (NSW numbers), A088165 (prime NSW numbers = prime RMS numbers (A140480)), A001653, A000129 (Pell numbers), A086383, A101411, A079704, A002522, A008843, A104683, A163742, etc. %K A164986 nonn %O A164986 1,1 %A A164986 _Rick L. Shepherd_, Sep 03 2009