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A188105 T(n,k)=Number of (n+3)X(k+3) binary arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock 10
65536, 708, 708, 1417, 143, 1417, 3594, 243, 243, 3594, 8274, 643, 486, 643, 8274, 13814, 1482, 1421, 1421, 1482, 13814, 17850, 2374, 3013, 3341, 3013, 2374, 17850, 20888, 2866, 3765, 5037, 5037, 3765, 2866, 20888, 24117, 3110, 4041, 5661, 7661 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.65536..708.1417.3594..8274.13814.17850.20888.24117.26596.29585.35384.46623

...708..143..243..643..1482..2374..2866..3110..3322..3542..3834..4523..6132

..1417..243..486.1421..3013..3765..4041..4285..4537..4817..5317..6393..9606

..3594..643.1421.3341..5037..5661..5953..6253..6581..7077..8093.10545.15169

..8274.1482.3013.5037..7661..8509..8873..9265..9825.10805.13085.16429.22789

.13814.2374.3765.5661..8509.10229.10653.11245.12257.14405.17321.21217.28861

.17850.2866.4041.5953..8873.10653.11457.12477.14633.17361.20685.25233.34381

.20888.3110.4285.6253..9265.11245.12477.14853.17589.20717.24669.30593.40709

.24117.3322.4537.6581..9825.12257.14633.17589.20945.24693.29997.36761.47833

.26596.3542.4817.7077.10805.14405.17361.20717.24693.30013.36133.43725.56393

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..4607

FORMULA

Empirical for columns 1-8: a(n)=2*a(n-1)-a(n-2)+a(n-4)-2*a(n-5)+a(n-6)+a(n-8)-a(n-9) for n>15,14,13,14,15,16,17,18 respectively

EXAMPLE

Some solutions for 6X5

..0..0..0..0..1....0..0..0..0..0....1..0..0..0..0....0..0..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....1..0..0..0..0....0..0..0..0..0....0..0..0..0..0

..1..0..0..0..0....0..1..0..0..0....0..0..0..0..0....0..0..0..0..0

..1..1..0..0..0....0..0..1..0..0....0..0..0..0..1....1..0..0..0..0

CROSSREFS

Sequence in context: A161195 A069391 A188096 * A188097 A223602 A223695

Adjacent sequences:  A188102 A188103 A188104 * A188106 A188107 A188108

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 20 2011

STATUS

approved

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Last modified November 27 06:49 EST 2021. Contains 349365 sequences. (Running on oeis4.)