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A366040
Irregular triangle read by rows: T(n,k) = number of cells of dimension k in the tropical Schottky locus of genus n.
0
1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 3, 4, 5, 4, 2, 2, 1, 1, 1, 2, 3, 5, 9, 12, 15, 17, 15, 7, 4
OFFSET
2,8
COMMENTS
Row n has 3n + 1 entries, for 0 <= k <= 3n.
LINKS
Melody Chan, Combinatorics of the tropical Torelli map, Algebra Number Theory, 6 (2012), 1133-1169.
EXAMPLE
The irregular triangle T(n,k) begins:
n\k 0 1 2 3 4 5 6 7 8 9 10 11 12...
2: 1, 1, 1, 1;
3: 1, 1, 1, 2, 2, 1, 1;
4: 1, 1, 1, 2, 3, 4, 5, 4, 2, 2;
5: 1, 1, 1, 2, 3, 5, 9, 12, 15, 17, 15, 7, 4;
...
CROSSREFS
Row sums are A220444.
Sequence in context: A070000 A227736 A228528 * A219244 A330231 A323017
KEYWORD
nonn,tabf,more
AUTHOR
Harry Richman, Oct 23 2023
STATUS
approved