Search: id:A006885
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%I A006885 M2086
%S A006885 1,2,16,52,160,9232,13120,39364,41524,250504,1276936,6810136,8153620,
%T A006885 27114424,50143264,106358020,121012864,593279152,1570824736,
%U A006885 2482111348,2798323360,17202377752,24648077896,52483285312
%N A006885 Record highest point of trajectory before reaching 1 in `3x+1' problem, 
               corresponding to starting values in A006884.
%C A006885 Both the 3x+1 steps and the halving steps are counted.
%D A006885 R. B. Banks, Slicing Pizzas, Racing Turtles and Further Adventues in 
               Applied Mathematics, Princeton Univ. Press, 1999. See p. 96.
%D A006885 B. Hayes, Computer Recreations: On the ups and downs of hailstone numbers, 
               Scientific American, 250 (No. 1, 1984), pp. 10-16.
%D A006885 D. R. Hofstadter, Goedel, Escher, Bach: an Eternal Golden Braid, Random 
               House, 1980, p. 400.
%D A006885 G. T. Leavens and M. Vermeulen, 3x+1 search problems, Computers and Mathematics 
               with Applications, 24 (1992), 79-99.
%D A006885 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A006885 T. D. Noe, <a href="b006885.txt">Table of n, a(n) for n=1..84</a> (from 
               Eric Roosendaal's data)
%H A006885 J. C. Lagarias, <a href="http://www.cecm.sfu.ca/organics/papers/lagarias/
               paper/html/paper.html">The 3x+1 problem and its generalizations</
               a>, Amer. Math. Monthly, 92 (1985), 3-23.
%H A006885 Eric Roosendaal, <a href="http://www.ericr.nl/wondrous/pathrecs.html">
               3x+1 Path Records</a>
%H A006885 <a href="Sindx_Go.html#GEB">Index entries for sequences from "Goedel, 
               Escher, Bach"</a>
%H A006885 <a href="Sindx_3.html#3x1">Index entries for sequences related to 3x+1 
               (or Collatz) problem</a>
%Y A006885 Cf. A006884, A006877, A006878, A033492.
%Y A006885 Sequence in context: A058376 A120948 A090453 this_sequence A027273 A033431 
               A107610
%Y A006885 Adjacent sequences: A006882 A006883 A006884 this_sequence A006886 A006887 
               A006888
%K A006885 nonn,nice
%O A006885 1,2
%A A006885 mrob(AT)mrob.com (Robert P Munafo)

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