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A186472
T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors
10
81, 83, 83, 277, 129, 277, 367, 243, 243, 367, 966, 562, 942, 562, 966, 1321, 903, 1203, 1203, 903, 1321, 3078, 1754, 3190, 3186, 3190, 1754, 3078, 4553, 2937, 4023, 4875, 4875, 4023, 2937, 4553, 10028, 5790, 9982, 9834, 13278, 9834, 9982, 5790, 10028
OFFSET
1,1
COMMENTS
Table starts
....81....83...277....367....966...1321...3078....4553...10028...15650...32786
....83...129...243....562....903...1754...2937....5790....9993...19236...33546
...277...243...942...1203...3190...4023...9982...13985...32390...48553..105436
...367...562..1203...3186...4875...9834..14883...31866...51057..105398..174289
...966...903..3190...4875..13278..16083..40626...52755..129102..182841..418022
..1321..1754..4023...9834..16083..34314..49407..109950..159879..350418..540777
..3078..2937..9982..14883..40626..49407.136086..170811..431658..564459.1356918
..4553..5790.13985..31866..52755.109950.170811..399018..570183.1266414.1812423
.10028..9993.32390..51057.129102.159879.431658..570183.1537038.1966755.4790010
.15650.19236.48553.105398.182841.350418.564459.1266414.1966755.4607034.6457959
LINKS
FORMULA
Empirical, for every column: a(n)=2*a(n-1)+a(n-2)-4*a(n-3)+4*a(n-4)-2*a(n-5) for n>k+9
EXAMPLE
Some solutions for 4X3
..1..1..0....2..1..1....2..0..0....2..0..0....0..2..1....0..1..0....2..0..1
..2..0..1....1..1..0....0..2..0....0..0..0....0..0..2....1..0..1....0..2..0
..0..2..0....1..0..1....1..0..2....0..0..0....0..0..0....0..1..0....2..0..2
..2..0..2....0..1..2....0..1..1....2..0..0....1..0..0....0..0..1....0..2..1
CROSSREFS
Sequence in context: A177842 A075691 A055390 * A183984 A089784 A186464
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Feb 22 2011
STATUS
approved