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 A226652 #13 Jun 15 2013 12:48:46
%S A226652 3,5,12,17,110,182,217,347,352,397,432,495,707,712,775,787,822,907,
%T A226652 920,1115,1127,1265,1370,1500,1722,1810,1860,1953,1995,2167,2742,2943,
%U A226652 3087,3372,3713,3840,3985,4030,4153,4580,4762,5093,5750,6018,6540,6920,7263,7355,7367,7378,7637,7957,8727,8932,9002,9340,9368
%N A226652 Numbers n such that 6n -/+ 1 are twin prime pair and n = r + s where 6r -/+ 1 and 6s -/ 1 are consecutive smaller pairs of twin primes.
%C A226652 Terms in A002822 that are sum of some two subsequent terms.
%C A226652 Subsequence of terms of A225943 that are sum of some two subsequent terms, s2 = {17, 14745, 131010, 272125, 470573, 693635, 1393613, 1527925, 1953238, 3393075, 5219842, 5651810, 6662387, 10185065, 11332328, 11519365, 15051965}.
%C A226652 Is there similar subsequence s3 of s2, and so on?
%H A226652 Zak Seidov, <a href="/A226652/b226652.txt">Table of n, a(n) for n = 1..10000</a>
%F A226652 a(n) = (A225943(n)+1)/3.
%e A226652 a(2) = 5 because A002822(4) = 5 = A002822(2) + A002822(3) = 2 + 3.
%e A226652 a(3) = 12 because A002822(7) = 12 = A002822(4) + A002822(5) = 5 + 7.
%Y A226652 Cf. A002822 ( 6 n -/+ 1 are twin primes), A225943.
%K A226652 nonn
%O A226652 1,1
%A A226652 _Zak Seidov_, Jun 14 2013