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Decreasing Pepper ambiguity

🔗Gene Ward Smith <genewardsmith@coolgoose.com>

2/9/2006 5:17:54 PM

Here are lists of n-edos, from 1 to 10000, of decreasing Pepper
ambiguity for odd limits from 2 to 21. At first I was going to make
this from 5 to 21, since in the 3-limit case it's obviously just what
you get from continued fractions. It then occurred to me that this
might be a good reason to keep it, and point out that in some sense
this generalizes the continued fraction. Bonus points may be
considered to have been awared for appearing on more than one list.

3: 1, 2, 5, 12, 41, 53, 306, 665
5: 1, 3, 12, 19, 34, 53, 118, 441, 612, 730, 1171, 1783, 2513, 4296
7: 1, 2, 3, 4, 12, 22, 27, 31, 99, 171, 3125, 6691
9: 1, 2, 4, 5, 12, 19, 31, 41, 99, 171, 3125
11: 1, 2, 5, 16, 22, 31, 72, 270, 342, 1848, 6421, 6691
13: 1, 2, 7, 8, 24, 37, 46, 58, 130, 198, 224, 270, 494, 1506, 2684,
5585, 6079
15: 1, 2, 7, 8, 24, 58, 111, 130, 224, 270, 494, 2190, 2684, 5585, 6079
17: 1, 2, 8, 24, 72, 94, 111, 311, 581, 764, 1506, 2460, 3395, 7033
19: 1, 2, 3, 7, 8, 24, 311, 581, 1178, 1578, 2000, 3395, 8539
21: 1, 2, 3, 8, 24, 54, 72, 118, 311, 581, 1178, 1578, 2460, 3395, 8539