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

Author

Harry Richman, Oct 23 2023

Keywords

• nonn
• tabf
• more

Comments

Row n has 3n + 1 entries, for 0 <= k <= 3n.

Examples

			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;
...
		

Links

• Melody Chan, Combinatorics of the tropical Torelli map, Algebra Number Theory, 6 (2012), 1133-1169.

Crossrefs

Last entry in each row is A005967.

Row sums are A174224.