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A263503 Number of (n+1)X(1+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, 59, 360, 2196, 13704, 85189, 528559, 3280284, 20360536, 126365281, 784254518, 4867282254, 30207532735, 187474861266, 1163511187403, 7221010676326, 44815200779002, 278133097211273, 1726155767731454, 10712905866198251 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A263506.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 7*a(n-1) -2*a(n-2) -12*a(n-3) -18*a(n-4) -138*a(n-5) +58*a(n-6) +109*a(n-7) +35*a(n-8) +97*a(n-9) -36*a(n-10) -60*a(n-11) +4*a(n-12) -2*a(n-13) +a(n-15)

EXAMPLE

Some solutions for n=4

..0..1....0..5....0..5....0..1....0..1....1..2....0..1....0..5....1..3....0..3

..2..4....2..1....1..3....2..7....2..3....5..0....2..5....1..4....2..0....1..2

..5..3....3..7....2..4....3..5....4..6....7..3....3..7....2..3....6..5....4..7

..6..8....4..6....8..6....4..9....7..5....8..4....6..4....6..9....7..4....5..8

..7..9....9..8....9..7....8..6....8..9....9..6....9..8....8..7....9..8....9..6

CROSSREFS

Cf. A263506.

Sequence in context: A244939 A047867 A002538 * A112424 A190977 A254662

Adjacent sequences:  A263500 A263501 A263502 * A263504 A263505 A263506

KEYWORD

nonn

AUTHOR

R. H. Hardin, Oct 19 2015

STATUS

approved

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Last modified September 23 16:41 EDT 2020. Contains 337315 sequences. (Running on oeis4.)