A186572 T(n,k)=Number of (n+2)X(k+2) 0..6 arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock

40353607, 24447, 24447, 864668, 2295, 864668, 2116995, 9909, 9909, 2116995, 7582959, 158223, 155811, 158223, 7582959, 14535672, 386067, 622551, 622551, 386067, 14535672, 22101528, 506815, 915667, 6144163, 915667, 506815, 22101528

Offset

1,1

Comments

Table starts

..40353607...24447..864668..2116995..7582959.14535672..22101528..24312465

.....24447....2295....9909...158223...386067...506815....565825....637183

....864668....9909..155811...622551...915667...995845...1088371...1352005

...2116995..158223..622551..6144163..7412773..7653475...8065285...9304411

...7582959..386067..915667..7412773.20145619.20705605..22092907..24752053

..14535672..506815..995845..7653475.20705605.24109915..26790229..31197499

..22101528..565825.1088371..8065285.22092907.26790229..33341515..43063717

..24312465..637183.1352005..9304411.24752053.31197499..43063717..63091963

..63499206..903841.2594155.12855637.31067467.42954853..63004267..94973029

.120724891.2205175.6317749.26455867.58111141.79197787.112203781.183493867

Links

R. H. Hardin, Table of n, a(n) for n = 1..287

Formula

Empirical, for all columns: a(n)=2*a(n-1)-a(n-2)+6*a(n-3)-12*a(n-4)+6*a(n-5)+6*a(n-6)-6*a(n-7) for n>24,12,11,12,13,14,15,16 respectively for k=1..8

Example

Some solutions for 5X4
..0..0..1..1....0..0..6..0....0..0..0..3....2..1..1..2....0..0..1..5
..0..0..0..0....5..0..0..6....0..0..0..0....1..2..1..1....0..0..0..2
..0..0..0..0....0..5..0..0....0..0..0..0....1..1..2..1....0..0..0..0
..0..0..0..0....0..0..5..0....1..0..0..0....2..1..1..2....0..0..0..0
..1..6..0..0....1..0..0..5....1..1..0..0....1..2..1..1....4..0..0..0

Crossrefs

Sequence in context: A186617 A186960 A186571 * A016929 A016989 A017157

Adjacent sequences: A186569 A186570 A186571 * A186573 A186574 A186575

Keyword

nonn,tabl

Author

R. H. Hardin Feb 23 2011

Status

approved