A263545 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 no more than 3 elements left unmoved.

20, 124, 124, 884, 3328, 884, 2960, 32284, 32284, 2960, 43808, 692605, 1704784, 692605, 43808, 128576, 12621312, 26361664, 26361664, 12621312, 128576, 1845824, 200111881, 6446653792

Offset

1,1

Comments

Table starts

.....20......124......884.....2960......43808....128576.1845824

....124.....3328....32284...692605...12621312.200111881

....884....32284..1704784.26361664.6446653792

...2960...692605.26361664

..43808.12621312

.128576

Links

Table of n, a(n) for n=1..24.

Example

Some solutions for n=2 k=4
..0.12.13..7..8.16....0.12..6.11.17.16....0.12.15..7..8.16....0.12.10..3.17.16
.19..3..4.17.23.22...19..3..8.20..2.22...19.18.21..1.23..3...14.20.19..5..2.22
.20..2..1.11..5.21....1.21.18.23..5..4...20..2.22..4..5.17....1.21.18.23..8..4
.18..6..9.10.14.15...14.15..7.13..9.10...14..6..9.13.11.10....7..6..9.13.11.15

Crossrefs

Sequence in context: A156255 A004634 A222859 * A227057 A263543 A249709

Adjacent sequences: A263542 A263543 A263544 * A263546 A263547 A263548

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 20 2015

Status

approved