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 A096708 #4 Mar 30 2012 17:34:55
%S A096708 157,353,8233,23893,26183,30197,63697,118831,131041,150203,152213,
%T A096708 167033,198013,293087,341303,383983,494051,494723,534007,551569,
%U A096708 601949,603541,629203,666697,671287,679417,688907,768203,787207,796867,826039
%N A096708 Balanced primes (A090403) of index 4.
%e A096708 353 is a member because 353 = (281 + ...353 + ... + 421)/23
%e A096708 = (271 + .. + 353 + ... + 433)/27 = (241 + ... + 353 + ... + 461)/37 = (227 + ... + 353 + ... + 487)/45.
%t A096708 f[n_] := Block[{c = 0, k = 1, p = Prime[n], s = Plus @@ Table[ Prime[i], {i, n - 1, n + 1}]}, While[k != n - 1, If[s == (2k + 1)p, c++ ]; k++; s = s + Prime[n - k] + Prime[n + k]]; c]; Prime[ Select[ Range[2, 25797], f[ # ] == 4 &]]
%Y A096708 Cf. A096693, A096695, A096705, A096706, A096707, A096709.
%K A096708 nonn
%O A096708 1,1
%A A096708 _Robert G. Wilson v_, Jun 28 2004
%E A096708 a(17)-a(31) from _Donovan Johnson_, Apr 09 2010