A306282 Triangle read by rows: T(n,k) is the number of (directed) Hamiltonian paths in the n X k knight graph.

1, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 164, 1728, 0, 0, 0, 1488, 37568, 6637920, 0, 0, 104, 12756, 1245736, 779938932, 165575218320, 0, 0, 792, 62176, 36122108

Offset: 1

Author

Seiichi Manyama, Feb 03 2019

Keywords

• nonn
• tabl
• more

Examples

			Triangle begins:
n\k | 1  2    3      4        5          6             7
----+----------------------------------------------------
1   | 1;
2   | 0, 0;
3   | 0, 0,   0;
4   | 0, 0,  16,     0;
5   | 0, 0,   0,   164,    1728;
6   | 0, 0,   0,  1488,   37568,   6637920;
7   | 0, 0, 104, 12756, 1245736, 779938932, 165575218320;
		

Links

• Eric Weisstein's World of Mathematics, Hamiltonian Path
• Eric Weisstein's World of Mathematics, Knight Graph

Crossrefs

T(n,n) gives A165134.

Cf. A118067, A123935.