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A186484
T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors
2
625, 419, 419, 3265, 839, 3265, 3335, 1715, 1715, 3335, 17608, 5879, 17015, 5879, 17608, 19617, 10259, 15061, 15061, 10259, 19617, 89163, 28628, 89650, 64680, 89650, 28628, 89163, 110707, 53045, 85269, 100789, 100789, 85269, 53045, 110707, 459455
OFFSET
1,1
COMMENTS
Table starts
....625....419....3265....3335....17608....19617....89163....110707....459455
....419....839....1715....5879....10259....28628....53045....150208....289063
...3265...1715...17015...15061....89650....85269...453894....494751...2328714
...3335...5879...15061...64680...100789...319970...489029...1667870...2708279
..17608..10259...89650..100789...575344...510469..2895594...2857149..14788974
..19617..28628...85269..319970...510469..1759744..2398869...9184194..12853549
..89163..53045..453894..489029..2895594..2398869.15145144..13490069..77860794
.110707.150208..494751.1667870..2857149..9184194.13490069..52024944..69802869
.459455.289063.2328714.2708279.14788974.12853549.77860794..69802869.422063944
.624228.792360.2834305.8719842.16533319.47290374.77119949.270513394.391681269
LINKS
FORMULA
Empirical, for every column: a(n)=2*a(n-1)+3*a(n-2)-8*a(n-3)+8*a(n-4)-4*a(n-5) for n>k+11
EXAMPLE
Some solutions for 4X3
..0..0..4....1..1..0....4..4..0....4..2..0....4..4..0....1..4..0....1..4..0
..0..0..0....3..0..1....0..0..4....0..0..2....2..0..4....1..0..4....0..0..4
..3..0..0....0..3..0....0..0..2....0..0..0....0..2..0....0..1..0....0..0..0
..0..3..4....3..0..3....0..0..1....3..0..0....2..0..2....0..0..1....4..0..0
CROSSREFS
Sequence in context: A115484 A005081 A210115 * A184037 A186483 A043352
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Feb 22 2011
STATUS
approved