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A209543
T(n,k)=Number of nXk array permutations with every element making zero or one right-handed knight moves (out 2, right 1)
7
1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 16, 4, 1, 1, 8, 72, 72, 8, 1, 1, 16, 243, 729, 243, 16, 1, 1, 32, 1125, 6480, 6480, 1125, 32, 1, 1, 64, 5000, 63504, 103680, 63504, 5000, 64, 1, 1, 128, 20480, 635040, 2080800, 2080800, 635040, 20480, 128, 1, 1, 256, 86528, 6350400
OFFSET
1,8
COMMENTS
Table starts
.1..1.....1.......1.........1............1..............1................1
.1..1.....2.......4.........8...........16.............32...............64
.1..2....16......72.......243.........1125...........5000............20480
.1..4....72.....729......6480........63504.........635040..........6350400
.1..8...243....6480....103680......2080800.......42166080........833285376
.1.16..1125...63504...2080800.....92160000.....4045204800.....171889843216
.1.32..5000..635040..42166080...4045204800...366400000000...33556714023168
.1.64.20480.6350400.833285376.171889843216.33556714023168.6638067426640896
LINKS
EXAMPLE
Some solutions for n=4 k=4
..6..8..2.10....6..1..2..3....6..7..2..3....0..8..2..3....6..7..2..3
..4.12..0..7...10.12..0.14....4..5..0..1....4..5.13..7....4.12..0..1
..1.15..3.11....8..9..4.11...14..9.10.11....1..9.10.11....8..9.10.11
..5.13.14..9....5.13..7.15...12.13..8.15...12..6.14.15....5.13.14.15
CROSSREFS
Sequence in context: A360936 A361014 A064552 * A178655 A337278 A178304
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 10 2012
STATUS
approved