A123481 - OEIS

%I #25 Jul 21 2017 15:36:56

%S 2,3,7,9,27,230631,626331,837799,1723519,3732423,6649279,8400511,

%T 63728127,3743559068799,100759293214567,104899295810901231

%N Record n for the sequence A006666(n)/log(n), for n > 1; i.e., the n at which the number of steps to 1 for the halving-Collatz iteration divided by log(n) sets a new maximum.

%C These numbers (for n > 2, at least) are called "Abby-Normal" numbers by Dominici in the referenced paper (definition 21); 2 is included here to agree with the RECORDS transform convention. - _D. S. McNeil_, Mar 26 2009

%C Three further terms are known (see Roosendaal) but they may not be the next three terms. - _N. J. A. Sloane_, Oct 21 2012

%H D. Dominici, <a href="http://arXiv.org/abs/0704.1057">Working with 2s and 3s</a>, arXiv:0704.1057

%H Eric Roosendaal, <a href="http://www.ericr.nl/wondrous/comprecs.html">3x+1 Completeness and Gamma Records</a> - From _N. J. A. Sloane_, Oct 21 2012

%K nonn

%O 1,1

%A Diego Dominici (dominicd(AT)newpaltz.edu), Apr 16 2007

%E Definition edited by _D. S. McNeil_, Mar 26 2009

%E Extended by _D. S. McNeil_, Mar 26 2009

%E a(13) from _Donovan Johnson_, Feb 16 2011

%E a(14)-a(16) from Roosendaal's table added by _N. J. A. Sloane_, Oct 21 2012