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A123481
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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.
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0
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2, 3, 7, 9, 27, 230631, 626331, 837799, 1723519, 3732423, 6649279, 8400511, 63728127
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| 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. [From D. S. McNeil (d.mcneil(AT)qmul.ac.uk), Mar 26 2009]
10^10 < a(14) <= 3743559068799. - Donovan Johnson, Feb 16 2011
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LINKS
| D. Dominici, Working with 2s and 3s, arXiv:0704.1057
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CROSSREFS
| Sequence in context: A057239 A024541 A205488 * A107861 A109800 A152136
Adjacent sequences: A123478 A123479 A123480 * A123482 A123483 A123484
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KEYWORD
| nonn
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AUTHOR
| Diego Dominici (dominicd(AT)newpaltz.edu), Apr 16 2007
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EXTENSIONS
| It would be nice to have a more explicit definition! - N. J. A. Sloane (njas(AT)research.att.com), Apr 21 2007
Definition edited by D. S. McNeil (d.mcneil(AT)qmul.ac.uk), Mar 26 2009
Extended by D. S. McNeil (d.mcneil(AT)qmul.ac.uk), Mar 26 2009
a(13) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Feb 16 2011
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