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A263706
T(n,k)=Number of (n+2)X(k+2) arrays of permutations of 0..(n+2)*(k+2)-1 with each element moved 0 or 1 knight moves and equal numbers of elements advancing and retreating in the array numbered in row major order.
4
49, 475, 569, 3588, 18995, 4020, 33265, 474101, 437533, 38769, 292865, 14115520, 30745811, 13341380, 355145, 2600010, 452888405, 2977192536, 3002676432, 414860767, 3191484, 23355021, 14143461755
OFFSET
1,1
COMMENTS
Table starts
......49.......475.......3588......33265....292865.....2600010.23355021
.....569.....18995.....474101...14115520.452888405.14143461755
....4020....437533...30745811.2977192536
...38769..13341380.3002676432
..355145.414860767
.3191484
EXAMPLE
Some solutions for n=2 k=4
..0..1.13.16.15..5....0..1.15.14.17..5....0..1.10..3..4.16....0..1.10.16..8..5
..6..7..8.20.23.11....6..7.16.13.21.11....6..7..8.13.23.22....6..7..4.17.21.15
.12..2.22..4..3.21...12..9.10..2..3..4...12..9.14..2..5.21...12..2.14.11..3..9
.18.19..9.17.14.10...18.19.20..8.22.23...18.19.20.17.11.15...18.19.20.13.22.23
CROSSREFS
Sequence in context: A250082 A012097 A218594 * A263707 A061621 A337356
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Oct 24 2015
STATUS
approved