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 A135729 #5 Mar 31 2012 13:48:24
%S A135729 1,3,5,9,17,65,129,153,321,1889,4097,10497,11025,28161,149345,558341,
%T A135729 1467393,75567105,299480577,344371457,677585217,788620517,1951587609,
%U A135729 2672464025,15958182629,52002133905,187559691777,213121397657
%N A135729 Record indices of A135727(n)/n = max{ A001281^k(n);k=0,1,2,3... }/n (3x-1 problem).
%C A135729 This subsequence of A135728 gives indices n for which A135727(n)/n (ratio of maximal value to starting value) is larger than for all preceding indices. Obviously, we cannot consider the index n=0 here.
%o A135729 (PARI) A135729(Nmax=10^5)=local(m=0);for(n=1,Nmax,if(m+0<m=max(m,A135727(n)/n),print1(n",")))
%Y A135729 Cf. A001281, A037084, A039500-A039505, A135727-A135730. A006370, A006577.
%K A135729 nonn
%O A135729 1,2
%A A135729 _M. F. Hasler_, Nov 26 2007
%E A135729 a(15)-a(28) from _Donovan Johnson_, Nov 06 2010