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 A145290 #4 Mar 30 2012 17:35:01 %S A145290 2,30,32,180,269,820,1282,1403,2102,2152,2344,2616,4459,6329,6604, %T A145290 7325,7893,9988,10270,10441,10662,11700,11740,11846,12279,18754,18927, %U A145290 23781,27096,27294,27531,31005,33616,36374,38266,43557,43680,44263,45945 %N A145290 Numbers n such that prime[(n + 1)^2] - prime[n^2] is a perfect square. %C A145290 n such that A011757(n + 1) - A011757(n) is a perfect square %e A145290 n = 2, prime[(n + 1)^2] - prime[n^2]=23 - 7 = 16 = 4^2; n = 30, prime[(n + 1)^2] - prime[n^2]=7573 - 6997 = 576 = 24^2 %t A145290 Do[If[IntegerQ[Sqrt[Prime[(i + 1)^2] - Prime[i^2]]], Print[i]], {i, 1, 20000}] %Y A145290 A011757 prime(n^2) %K A145290 nonn %O A145290 1,1 %A A145290 _Zak Seidov_, Oct 06 2008 %E A145290 a(28)-a(39) from _Donovan Johnson_, Sep 16 2009