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.

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

Links

Table of n, a(n) for n=1..23.

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

Adjacent sequences: A263703 A263704 A263705 * A263707 A263708 A263709

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 24 2015

Status

approved