A189248 Number of nX3 array permutations with each element making zero or one king moves

3, 152, 2961, 76629, 1818336, 44308389, 1070959431, 25950094568, 628311228261, 15216392096673, 368483172355520, 8923455937553017, 216095445904425947, 5233099961163002488, 126727881793625193513, 3068918844981224041565

Offset

1,1

Comments

Column 3 of A189254

Links

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

Formula

Empirical: a(n) = 20*a(n-1) +125*a(n-2) -566*a(n-3) +249*a(n-4) +916*a(n-5) -1703*a(n-6) +256*a(n-7) +691*a(n-8) -30*a(n-9) -9*a(n-10)

Example

Some solutions for 4X3
..3..5..1....1..2..4....3..0..2....1..3..5....4..2..1....1..4..5....1..0..5
..0..7..2....3..0..7....1..7..4....6..0..2....0..7..8....7..0..2....3..8..2
..6..4.10....6..5.11....6..5.11....9.11..4....3..6..5....3..9.11....9.11..4
..9..8.11....9.10..8....9.10..8....7..8.10...10..9.11...10..6..8....6..7.10

Crossrefs

Sequence in context: A137802 A100203 A287319 * A209393 A095225 A039934

Adjacent sequences: A189245 A189246 A189247 * A189249 A189250 A189251

Keyword

nonn

Author

R. H. Hardin Apr 19 2011

Status

approved