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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 2
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified November 29 13:17 EST 2021. Contains 349416 sequences. (Running on oeis4.)