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A366039
Irregular triangle read by rows: T(n,k) = number of cells of dimension k in the moduli space of tropical curves of genus n.
0
1, 2, 2, 2, 1, 2, 5, 9, 12, 8, 5, 1, 3, 7, 21, 43, 75, 89, 81, 42, 17, 1, 3, 11, 34, 100, 239, 492, 784, 1002, 926, 632, 260, 71
OFFSET
2,2
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, 2, 2, 2;
3: 1, 2, 5, 9, 12, 8, 5;
4: 1, 3, 7, 21, 43, 75, 89, 81, 42, 17;
5: 1, 3, 11, 34, 100, 239, 492, 784, 1002, 926, 632, 260, 71;
...
CROSSREFS
Last entry in each row is A005967.
Row sums are A174224.
Sequence in context: A093116 A327799 A198199 * A124369 A205013 A138258
KEYWORD
nonn,tabf,more
AUTHOR
Harry Richman, Oct 23 2023
STATUS
approved