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A263385
Number of (n+1)X(1+1) arrays of permutations of 0..n*1-1 with each element moved a city block distance of exactly 2.
1
1, 4, 16, 36, 169, 576, 2025, 7056, 25600, 90000, 319225, 1132096, 4020025, 14243076, 50523664, 179184996, 635493681, 2253590784, 7992538801, 28345089600, 100524507136, 356504526400, 1264331580625, 4483890950400, 15901918773841
OFFSET
1,2
COMMENTS
Column 1 of A263389.
LINKS
FORMULA
Empirical: a(n) = 5*a(n-2) +15*a(n-3) +35*a(n-4) +25*a(n-5) +5*a(n-6) -5*a(n-7) -25*a(n-8) -35*a(n-9) -15*a(n-10) -5*a(n-11) +a(n-13)
EXAMPLE
Some solutions for n=4
..3..5....3..2....3..2....3..2....3..2....3..5....3..2....4..5....3..2....3..2
..1..0....1..0....6..4....5..7....1..7....1..0....1..7....1..0....1..0....1..0
..8..2....8..9....0..1....0..1....0..9....7..2....0..6....8..2....8..6....7..6
..9..4....5..4....9..8....9..8....5..8....9..8....9..8....9..3....9..4....9..8
..7..6....7..6....7..5....4..6....4..6....4..6....4..5....7..6....7..5....4..5
CROSSREFS
Cf. A263389.
Sequence in context: A293708 A081456 A223403 * A368215 A130279 A030158
KEYWORD
nonn
AUTHOR
R. H. Hardin, Oct 16 2015
STATUS
approved