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A060412
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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.
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12
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2, 3, 7, 27, 703, 10087, 35655, 270271, 362343, 381727, 626331, 1027431, 1126015, 8088063, 13421671, 20638335, 26716671, 56924955, 63728127, 217740015, 1200991791, 1827397567, 2788008987, 12235060455
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The (3x+1)/2 steps and the halving steps are counted. - Don Reble djr(AT)nk.ca, May 13 2006
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LINKS
| N. J. A. Sloane, Table of n, a(n) for n=1..35 (from the web page of Tomas Oliveira e Silva)
Tomas Oliveira e Silva, Tables (gives many more terms)
Index entries for sequences related to 3x+1 (or Collatz) problem
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CROSSREFS
| A060413 gives associated "dropping times", A060414 the maximal values and A060415 the steps at which the maxima occur. Cf. A060445.
Cf. A008884, A161021, A161022, A161023. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 03 2009]
Cf. also A014682, A126241.
Sequence in context: A156142 A052877 A137075 * A062573 A019435 A061092
Adjacent sequences: A060409 A060410 A060411 * A060413 A060414 A060415
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Apr 06 2001; b-file added Nov 27 2007
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