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 A246826 #13 Oct 25 2014 23:20:19 %S A246826 0,10,26,30,36,136,156,433 %N A246826 Numbers n such that there is no prime of a prime twin pair between n^2 + n and n^2 + 3*n + 2. %C A246826 No more values for n = 434 to 45140. %C A246826 Conjecture: the sequence is finite and given in full. %C A246826 a(9), if it exists, is greater than 10^5. - _Derek Orr_, Sep 19 2014 %e A246826 n = 0 only 1 between 0 and 2 so a(1) = 0. %e A246826 n = 1 between 2 and 6, 3 is the first of twin pair 3, 5. %e A246826 For n = 2 to 9 always at least one prime of a twin pair between n^2 + n and n^2 + 3*n + 2. %e A246826 n = 10 no prime of a twin pair between 110 and 132 so a(2) = 10. %o A246826 (PARI) %o A246826 a(n)=forprime(p=n^2+n,n^2+3*n+2,if(precprime(p-1)==p-2||nextprime(p+1)==p+2,return(0)));return(1) %o A246826 n=0;while(n<10^5,if(a(n),print1(n,", "));n++) \\ _Derek Orr_, Sep 19 2014 %Y A246826 Cf. A091592, A108309. %K A246826 nonn %O A246826 1,2 %A A246826 _Pierre CAMI_, Sep 04 2014