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 A082312 #6 Mar 11 2015 09:24:38
%S A082312 1,4,5,14,11,14,12,15,32,36,32,30,41,65,42,41,53,45,75,76,69,63,99,98,
%T A082312 60,112,99,84,94,130,132,103,87,140,172,175,144,190,171,140,200,145,
%U A082312 203,190,155,168,202,210,144,157,254,185,189,306,201,323,303,229,267
%N A082312 Half the difference between start and center prime of the smallest [2n+1]-balanced prime set (A082080).
%e A082312 The smallest 5-balanced prime, 79 (center of 71,73,79,83,89) minus 8 is 71, so a(2)=8/2=4.
%o A082312 (PARI) for(n=1, 80, i=2*n+1; f=0; forprime(p=2, 10^7, s=0; c=i; pr=p-1; t=0; while(c>0, c=c-1; pr=nextprime(pr+1); s=s+pr; if(c==(i-1)/2, t=pr)); if(s/i==t, print1((t-p)/2", "); f=1; break)); if(!f, print1("0, ")))
%Y A082312 Cf. A006562, A075540, A054800, A051795.
%K A082312 nonn
%O A082312 1,2
%A A082312 _Ralf Stephan_, Apr 09 2003