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

Table of n, a(n) for n=2..35.

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

Adjacent sequences: A366036 A366037 A366038 * A366040 A366041 A366042

Keyword

nonn,tabf,more

Author

Harry Richman, Oct 23 2023

Status

approved