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 A255230 #31 Apr 02 2015 05:25:44
%S A255230 4,12,48,120,468,1260,720,2448,10080,12060,15912,7560,18480,7392,9660,
%T A255230 27720,33480,14400,25080,36708,10092,34188,42120,83400,29820,20040,
%U A255230 67320,114408,206628,67368,72192,102648,152928,51732,59880,152700,106440,100980,171480
%N A255230 Integers n such that n^2 = 2*x*(y-x), where x and y are consecutive terms in A014574.
%C A255230 n is a term if n^2 = 2*x*(y-x), where x and y are the averages of two consecutive twin prime pairs.
%e A255230 48^2 = 2*192*(198-192), and 192 and 198 are consecutive terms in A014574, so 48 is in the sequence.
%o A255230 (PARI) lista(nn) = {p=2; last = 0; forprime (q=3, nn, if (q-p==2, if (! last, last = p+1, new = p+1; val = new^2-last^2 - (new-last)^2; if (issquare(val), print1(sqrtint(val), ", ")); last = new; );); p=q;);} \\ _Michel Marcus_, Feb 18 2015
%Y A255230 Cf. A014574.
%K A255230 nonn
%O A255230 1,1
%A A255230 _Neri Gionata_, Feb 18 2015
%E A255230 More terms from _Michel Marcus_, Feb 18 2015