A135729 Record indices of A135727(n)/n = max{ A001281^k(n);k=0,1,2,3... }/n (3x-1 problem).

1, 3, 5, 9, 17, 65, 129, 153, 321, 1889, 4097, 10497, 11025, 28161, 149345, 558341, 1467393, 75567105, 299480577, 344371457, 677585217, 788620517, 1951587609, 2672464025, 15958182629, 52002133905, 187559691777, 213121397657

Offset: 1

Author

M. F. Hasler, Nov 26 2007

Keywords

• nonn

Comments

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.

Crossrefs

Cf. A001281, A037084, A039500-A039505, A135727-A135730. A006370, A006577.

Programs

PARI

A135729(Nmax=10^5)=local(m=0);for(n=1,Nmax,if(m+0A135727(n)/n),print1(n",")))

Extensions

a(15)-a(28) from Donovan Johnson, Nov 06 2010