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

1,6

Links

Table of n, a(n) for n=1..49.

Example

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.

Sequence in context: A053426 A172282 A120083 * A174413 A162990 A366729

Adjacent sequences: A110216 A110217 A110218 * A110220 A110221 A110222

Keyword

hard,nonn,tabf

Author

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

Status

approved