A186592 Number of (n+3)X5 0..3 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock

48243, 2703, 8853, 104547, 444066, 884466, 1126074, 1184226, 1210122, 1236594, 1282434, 1586349, 2884656, 5616483, 9131238, 13594674, 21118974, 33023250, 47413830, 65562198, 96788079, 149349369, 219913836, 315141975, 472175553

Offset

1,1

Comments

Column 2 of A186599

Links

R. H. Hardin, Table of n, a(n) for n = 1..159

Formula

Empirical: a(n)=2*a(n-1)-a(n-2)+3*a(n-4)-6*a(n-5)+3*a(n-6)+3*a(n-8)-3*a(n-9) for n>14

Example

Some solutions for 7X5
..0..0..2..0..3....0..0..2..3..2....0..0..0..3..3....0..0..0..2..3
..0..0..0..0..0....0..0..0..0..1....0..0..0..0..0....0..0..0..1..1
..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
..1..1..0..0..0....2..0..0..0..0....3..0..0..0..0....0..0..0..0..0
..0..3..0..0..0....0..3..0..0..0....2..1..0..0..0....3..2..1..0..0

Crossrefs

Sequence in context: A254771 A254778 A254724 * A221556 A227701 A253494

Adjacent sequences: A186589 A186590 A186591 * A186593 A186594 A186595

Keyword

nonn

Author

R. H. Hardin Feb 24 2011

Status

approved