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A348863
Triangle T(n, k) is the number of times 2^k*3^(-n) arises in the n-th partition appearing in an iterated sequence of partitions of 1 (one for each integer n) into numbers of the form 2^k*3^(-n), for n>=0, read by rows.
0
1, 1, 1, 3, 1, 1, 7, 6, 0, 1, 21, 16, 3, 0, 1, 57, 51, 13, 0, 0, 1, 171, 149, 39, 5, 0, 0, 1, 499, 454, 117, 23, 0, 0, 0, 1, 1497, 1348, 360, 66, 9, 0, 0, 0, 1, 4449, 4083, 1061, 207, 41, 0, 0, 0, 0, 1, 13347, 12191, 3252, 591, 126, 17, 0, 0, 0, 0, 1, 39927, 36658, 9738, 1799, 370, 81, 0, 0, 0, 0, 0, 1
OFFSET
0,4
COMMENTS
See Calegari link for details.
LINKS
Danny Calegari, Sausages and Butcher Paper, arXiv:2105.11265 [math.DS], 2021.
Danny Calegari, Combinatorics of the Tautological Lamination, arXiv:2106.00578 [math.DS], 2021.
EXAMPLE
Triangle begins:
1;
1, 1;
3, 1, 1;
7, 6, 0, 1;
21, 16, 3, 0, 1;
57, 51, 13, 0, 0, 1;
171, 149, 39, 5, 0, 0, 1;
...
CROSSREFS
Sequence in context: A287213 A284631 A154341 * A202181 A130749 A250118
KEYWORD
nonn,tabl
AUTHOR
Michel Marcus, Nov 02 2021
STATUS
approved