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 A079329 #8 Feb 16 2025 08:32:48
%S A079329 6,10,16,25,37,52,67,88,106,124,145,166,187,196,214,235,256,277,298,
%T A079329 331,385,427,448,493,547,586,610,631,652,736,817,826,844,871,952,1027,
%U A079329 1042,1057,1078,1123,1192,1255,1285,1297,1312,1375,1441,1468,1486,1549
%N A079329 Let g(n)=A006512(n) be the larger member of the n-th pair of twin primes. Then a(n) is the average of g(n) and g(n+1).
%H A079329 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/TwinPrimes.html">Twin Primes</a>
%F A079329 a(n)=Sum_{x=n-th greater of twin primes..(n+1)th greater of twin primes}-(-1)^x*x - Juri-Stepan Gerasimov, Jul 14 2009
%t A079329 s=Select[Range[2000], PrimeQ[ # ]&&PrimeQ[ #-2]&];(Drop[s, 1]+Drop[s, -1])/2
%Y A079329 Cf. A006512, A079328.
%K A079329 nonn
%O A079329 1,1
%A A079329 Vincenzo Origlio (vincenzo.origlio(AT)itc.cnr.it), Feb 13 2003
%E A079329 Edited by _Dean Hickerson_, Feb 14 2003