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A263568
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 1 element left unmoved.
3
4, 16, 16, 96, 256, 96, 256, 1296, 1296, 256, 5632, 28561, 67600, 28561, 5632, 9216, 331776, 313600, 313600, 331776, 9216, 184320, 4100625, 273566336, 106172416, 273566336, 4100625, 184320, 262144, 49787136, 830361856
OFFSET
1,1
COMMENTS
Table starts
......4......16........96.......256......5632......9216...184320.262144
.....16.....256......1296.....28561....331776...4100625.49787136
.....96....1296.....67600....313600.273566336.830361856
....256...28561....313600.106172416
...5632..331776.273566336
...9216.4100625
.184320
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 60]
k=2: [order 41]
EXAMPLE
Some solutions for n=3 k=4
..8.14..6..7.17..9....8.12.13.11.17..9....8.14.15.16.17..9....8.12.15.11.17..9
.19..3..0..5..2.22...19.18..0..5.14..3....2.18..4..5.23..3...14..3..4..5..2.22
..1.24.10.23.29..4....1..2.25.28.29..4....1..0.25.11.27.28....1..0.25.23.27.28
.26.27.28.25.11.15....7..6.24.10.26.27....7..6.24.29.26.10....7..6.24.29.26.10
.13.12.18.16.20.21...20.21.22.23.15.16...13.12.22.19.20.21...13.21.18.19.20.16
CROSSREFS
Sequence in context: A229105 A223585 A202680 * A009570 A232839 A140299
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Oct 21 2015
STATUS
approved