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 A080699 #14 Jan 07 2017 00:52:17 %S A080699 25,77,403,1121,3379,7697,16897,25769,56341,63983,107447,129709, %T A080699 192403,222529,238999,328157,361259,466933,515909,645719,817009, %U A080699 1219637,1299433,1508917,1952359,2359943,2642597,2815831,3060037,3260713 %N A080699 Product of twin-prime-indexed primes and their upper bound twin prime. %F A080699 Let prime(i) = i-th prime, let twin(n) = (P, Q) be n-th pair of twin primes; sequence gives prime(P)*Q. %e A080699 The 3rd pair of twin primes is twin(3) = (11,13), prime(11) = 31, a(3) = 31*13 = 403. %o A080699 (PARI) twipxpindex2(n) = {sr=0; pr=1; for(x=1,n, p1=prime(x); p2=prime(x+1); if((p2-p1)==2, pr=p2*prime(prime(x)); sr+=1.0/pr; print1(pr" ")); ); print(); print(sr) } %Y A080699 Cf. A057470. %K A080699 easy,nonn %O A080699 1,1 %A A080699 _Cino Hilliard_, Mar 04 2003