A355334 Triangle read by rows: T(n,k) is the number of unlabeled graphs with n nodes and bipartite dimension (or biclique covering number) k, 0 <= k < n.

1, 1, 1, 1, 2, 1, 1, 4, 6, 0, 1, 6, 20, 7, 0, 1, 9, 61, 80, 5, 0, 1, 12, 159, 650, 221, 1, 0, 1, 16, 381, 4710, 6866, 372, 0, 0, 1, 20, 832, 29921, 183618, 59950, 326, 0, 0

Offset: 1

Author

Pontus von Brömssen, Jun 29 2022

Keywords

• nonn
• tabl
• more

Examples

			Triangle begins:
  n\k | 0  1   2     3      4     5   6  7  8
  ----+--------------------------------------
   1  | 1
   2  | 1  1
   3  | 1  2   1
   4  | 1  4   6     0
   5  | 1  6  20     7      0
   6  | 1  9  61    80      5     0
   7  | 1 12 159   650    221     1   0
   8  | 1 16 381  4710   6866   372   0  0
   9  | 1 20 832 29921 183618 59950 326  0  0
		

Links

• Wikipedia, Bipartite dimension

Crossrefs

Cf. A000088 (row sums), A355333, A355335, A355336.

Columns: A000012 (k=0), A002620 (k=1).