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 A214444 #7 Jul 22 2012 17:19:29 %S A214444 7,5,7,5,7,5,151,29,31,5,7,101,35,25,7,5,7,5,7,5,35,53,7,25,35,25,43, %T A214444 5,35,65,7,65,91,17,7,65,83,13,59,173,7,25,11,13,7,17,7,25,11,17,7,65, %U A214444 43,61,35,17,79,53,23,29,11,29,35,101,7,17,11,29,35,5,35,25,35 %N A214444 Arithmetic mean of next a(n) successive squares is prime. %C A214444 Corresponding primes (and arithmetic means): %C A214444 13, 83, 229, 443, 733, 1091, 14221, 40471, 53441, 62003, 65029, 96331, 142231, 165701, 178933, 184043, 189229, 194483, 199813, 205211, 223831, 267523, 299213, 317021, 351751, 388181, 431803, 463763, 491503, 564353, 619373 %C A214444 Conjecture: for some k and x, a(n)=A214451(n+x) for n>k. %e A214444 (0+1+4+9+16+25+36)/7 = 13, so a(1)=7. The next set of successive squares with prime arithmetic mean: (7^2 + 8^2 + 9^2 +100 + 11^2)/5 = 83, so a(2)=5. %Y A214444 Cf. A000040, A000290, A214442, A214451. %K A214444 nonn %O A214444 1,1 %A A214444 _Alex Ratushnyak_, Jul 18 2012