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A267616
Number of nX4 arrays of permutations of 4 copies of 0..n-1 with every element equal to at least one horizontal or antidiagonal neighbor and the top left element equal to 0.
0
1, 4, 42, 906, 33120, 1839720, 144491760, 15248903040, 2081942352000
OFFSET
1,2
COMMENTS
Column 4 of A267617.
EXAMPLE
Some solutions for n=4
..0..0..2..2....0..0..2..2....0..0..3..3....0..0..3..3....0..0..3..3
..0..0..1..1....3..3..3..2....2..2..3..3....1..1..1..2....3..3..1..1
..3..3..3..3....3..0..2..1....1..1..1..1....1..0..2..2....2..2..1..1
..1..1..2..2....0..1..1..1....0..0..2..2....0..2..3..3....0..0..2..2
CROSSREFS
Cf. A267617.
Sequence in context: A241030 A143990 A352074 * A243809 A220180 A134356
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 18 2016
STATUS
approved