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Least number whose Collatz (3x+1) trajectory has a number greater than 10^n.
3

%I #11 Jan 24 2024 01:21:40

%S 1,3,15,27,255,703,1819,9663,26623,77671,159487,1212415,4637979,

%T 6631675,19638399,80049391,319804831,319804831,319804831,8528817511,

%U 59436135663,231913730799,272025660543,871673828443,3716509988199,3716509988199,3716509988199

%N Least number whose Collatz (3x+1) trajectory has a number greater than 10^n.

%H T. D. Noe, <a href="/A222291/b222291.txt">Table of n, a(n) for n = 0..37</a>

%H Hisanori Mishima, <a href="http://www.asahi-net.or.jp/~kc2h-msm/mathland/math07/collatz04.htm">Relation between n and max(n)</a> (part of a chapter about the Collatz conjecture; errors in higher values)

%H Eric Roosendaal, <a href="http://www.ericr.nl/wondrous/pathrecs.html">3x+1 path records</a>

%H <a href="/index/3#3x1">Index entries for sequences related to 3x+1 (or Collatz) problem</a>

%Y Cf. A006884 (3x+1 records), A222292 (base-2 version).

%Y Cf. A224538.

%K nonn,base

%O 0,2

%A _T. D. Noe_, Feb 19 2013