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A263507
Number of (1+1)X(n+1) arrays of permutations of 0..n*2+1 filled by rows with each element moved a city block distance of 0 1 or 2, and rows and columns in increasing lexicographic order.
1
8, 48, 204, 770, 2687, 8559, 25383, 71498, 193691, 508996, 1306369, 3291584, 8173381, 20060419, 48777993, 117717414, 282365804, 673959638, 1602152316, 3796140809, 8970338435, 21150183227, 49777148466, 116976012851, 274555052038
OFFSET
1,1
COMMENTS
Row 1 of A263506.
LINKS
FORMULA
Empirical: a(n) = 6*a(n-1) -12*a(n-2) +9*a(n-3) -4*a(n-4) +2*a(n-5) +10*a(n-6) -12*a(n-7) -a(n-10) +4*a(n-11) -a(n-13)
EXAMPLE
Some solutions for n=4
..0..1..2..4..9....1..2..4..7..8....0..2..4..7..8....0..1..2..8..9
..5..8..3..6..7....5..0..3..6..9....5..1..6..9..3....6..7..5..4..3
CROSSREFS
Cf. A263506.
Sequence in context: A187174 A128796 A093199 * A261975 A087914 A271061
KEYWORD
nonn
AUTHOR
R. H. Hardin, Oct 19 2015
STATUS
approved