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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.

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.

KEYWORD

nonn,tabf,more

AUTHOR

STATUS

approved

URL: https://oeis.org/A366039