%I
%S 2,3,7,27,703,10087,35655,270271,362343,381727,626331,1027431,1126015,
%T 8088063,13421671,20638335,26716671,56924955,63728127,217740015,
%U 1200991791,1827397567,2788008987,12235060455
%N In the `3x+1' problem, these values for the starting value set new records for the "dropping time", number of steps to reach a lower value than the start.
%C The (3x+1)/2 steps and the halving steps are counted.  _Don Reble_, May 13 2006
%C Where records occur in A102419 (could be prefixed by an initial 1).  From _N. J. A. Sloane_, Oct 20 2012
%H N. J. A. Sloane, <a href="/A060412/b060412.txt">Table of n, a(n) for n = 1..35</a> (from the web page of Tomás Oliveira e Silva)
%H Tomás Oliveira e Silva, <a href="http://sweet.ua.pt/tos/3x+1.html">Tables</a>
%H Eric Roosendaal, <a href="http://www.ericr.nl/wondrous/index.html">On the 3x + 1 problem</a>
%H N. J. A. Sloane, <a href="/A102419/a102419.txt">First 36 terms of A217934 and A060412</a> [From Roosendaal web site]
%H <a href="/index/3#3x1">Index entries for sequences related to 3x+1 (or Collatz) problem</a>
%e See A102419.
%t dcoll[n_]:=Length[NestWhileList[If[EvenQ[#],#/2,3#+1]&,n,#>=n&]]; t={max=2}; Do[If[(y=dcoll[n])>max,max=y; AppendTo[t,n]],{n,3,1130000,4}]; t (* _Jayanta Basu_, May 28 2013 *)
%Y A060413 gives associated "dropping times", A060414 the maximal values and A060415 the steps at which the maxima occur. See also A217934.
%Y Cf. A060445, A008884, A161021, A161022, A161023, A014682, A126241.
%K nonn
%O 1,1
%A _N. J. A. Sloane_, Apr 06 2001; bfile added Nov 27 2007
