A110219 Cone C(n,m,k) read by planes and rows, for 1 <= k <= m <= n: Total Number of coverings of a k X m X n board using A110217(n,m,k) knights.

1, 1, 1, 1, 1, 4, 36, 8, 12, 12, 1, 16, 1296, 15, 56, 14, 9, 16, 8, 156, 1, 4, 2916, 6, 24, 8, 3, 4, 2, 6, 47, 2, 8, 38, 888, 1, 1, 6561, 2, 236, 2, 1, 268, 1, 2988, 46, 4, 27, 7

Offset: 1

Author

Nikolaus Meyberg (Nikolaus.Meyberg(AT)t-online.de), Jul 17 2005

Keywords

• hard
• nonn
• tabf

Examples

			Cone starts:
1.1...1........1..............1.................1......................
..1,1.4,36....16,1296.........4,2916............1,6561.
......8,12,12.15,..56,14......6,..24,8..........2,.236,.2
...............9,..16,.8,156..3,...4,2,.6.......1,.268,.1,2988
.............................47,...2,8,38,888..46,...4,27,...7,.?
..............................................127,..32,12,...?,....
		

Crossrefs

C(n, n, 1) = A103315(n), C(n, n, n) = A110216(n). A110218 gives number of inequivalent solutions.