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 A054829 #10 Oct 13 2013 17:38:14 %S A054829 2909,13469,13903,14951,15377,15383,21401,21559,21863,28279,30871, %T A054829 33203,35593,37693,42223,42571,45823,55663,64663,64921,64927,68209, %U A054829 68213,68899,68903,73943,74203,78583,83093,85517,87317,88003,90911 %N A054829 Second term of weak prime sextet: p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3). %C A054829 a(1) = A229832(4). - _Jonathan Sondow_, Oct 13 2013 %t A054829 wps[{a_,b_,c_,d_,e_,f_}]:=b-a<c-b<d-c<e-d<f-e; Transpose[Select[ Partition[ Prime[Range[10000]],6,1],wps]][[2]] (* _Harvey P. Dale_, Jun 25 2013 *) %Y A054829 Cf. A051635, A054800-A054840, A229832. %K A054829 nonn %O A054829 1,1 %A A054829 _Henry Bottomley_, Apr 10 2000