A263513 Number of (n+1)X(2+1) arrays of permutations of 0..n*3+2 filled by rows with each element moved a city block distance of 0 or 1, and rows and columns in increasing lexicographic order.

7, 35, 208, 1198, 7022, 41035, 240237, 1406038, 8230727, 48180019, 282036139, 1650978414, 9664491503, 56573952014, 331172398977, 1938615771254, 11348262181134, 66430417127424, 388870142636120, 2276366675982209

Offset

1,1

Comments

Column 2 of A263519.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) -a(n-2) -39*a(n-3) +24*a(n-4) +57*a(n-5) -33*a(n-6) -28*a(n-7) +13*a(n-8) +3*a(n-9) -a(n-10)

Example

Some solutions for n=4
..0..1..5....0..1..2....0..1..2....0..2..5....0..2..5....0..1..2....0..1..2
..4..3..2....3..4..8....3..4..8....3..1..4....3..1..8....3..4..5....4..3..5
..7..6..8....9..6..5....6..7..5....7..6.11....6..4..7....7..6..8....9..6..7
..9.11.10...10..7.11....9.10.14....9.13..8....9.10.14...10..9.11...10.13..8
.12.14.13...13.12.14...12.13.11...12.10.14...13.12.11...12.14.13...12.14.11

Crossrefs

Cf. A263519.

Sequence in context: A360083 A267712 A377158 * A274073 A177261 A105926

Adjacent sequences: A263510 A263511 A263512 * A263514 A263515 A263516

Keyword

nonn

Author

R. H. Hardin, Oct 19 2015

Status

approved