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 A129387 #8 Dec 05 2020 04:10:58
%S A129387 0,1,15,23,27,99,399,743,2285,2683,13607,18675,27299,66527,108899,
%T A129387 242087,504867,1985907,2179519,7883069,11798723,20372799,29842275,
%U A129387 49022007,70621263,91817907
%N A129387 Where records occur in A129385.
%e A129387 The fourth record in A129385 is A129386(4) = 11 = A129385(23), hence a(4) = 23.
%o A129387 (PARI) lista(nn) = {my(m, q, r); print1(0); for(k=1, nn, if(k%4 && !(k%2 && isprime((k+1)/2)), q=4+k%2; while(!ispower(q, , &m) || !isprime((q+k)/2), q+=2); if(m>r, print1(", ", k); r=m))); } \\ _Jinyuan Wang_, Dec 05 2020
%Y A129387 Cf. A129385, A129386 (records).
%K A129387 nonn,more
%O A129387 1,3
%A A129387 _Klaus Brockhaus_, Apr 14 2007
%E A129387 a(16) inserted by and more terms from _Jinyuan Wang_, Dec 04 2020