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A123481 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. +0
1
2, 3, 7, 9, 27, 230631, 626331, 837799, 1723519, 3732423, 6649279, 8400511 (list; graph; listen)
OFFSET

1,1

COMMENT

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]

REFERENCES

D. Dominici, Working with 2s and 3s, submitted, 2007.

LINKS

D. Dominici, Abby-Normal numbers.

CROSSREFS

Adjacent sequences: A123478 A123479 A123480 this_sequence A123482 A123483 A123484

Sequence in context: A046152 A057239 A024541 this_sequence A107861 A109800 A152136

KEYWORD

nonn

AUTHOR

Diego Dominici (dominicd(AT)newpaltz.edu), Apr 16 2007

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

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Last modified November 9 12:23 EST 2009. Contains 166233 sequences.


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