A189180 Number of nX3 array permutations with each element making a single king move

0, 33, 192, 4081, 47936, 733465, 9925824, 142150545, 1982789568, 27997733409, 393091648000, 5533702536417, 77804055183232, 1094555504869945, 15394211168981632, 216536449010819041, 3045646510935265408

Offset

1,2

Comments

Column 3 of A189186

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = 8*a(n-1) +94*a(n-2) -88*a(n-3) -488*a(n-4) +152*a(n-5) -638*a(n-6) -72*a(n-7) +9*a(n-8)

Example

Some solutions for 4X3
..3..0..5....4..2..1....3..5..1....3..2..5....1..3..5....3..2..5....3..2..5
..1..6..2....0..3..8....6..0..2....4..0..1....0..6..2....0..1..8....4..0..1
..9..4.11....9..5.11...10..4.11....7..9.11....9.11..4....9..6..4....9.10..7
.10..7..8...10..6..7....7..9..8....6..8.10....7..8.10...10.11..7....6.11..8

Crossrefs

Sequence in context: A231360 A046142 A135827 * A209531 A127870 A142993

Adjacent sequences: A189177 A189178 A189179 * A189181 A189182 A189183

Keyword

nonn

Author

R. H. Hardin Apr 18 2011

Status

approved