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A263060
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T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each row and column not divisible by 3, read as a binary number with top and left being the most significant bits.
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9
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2, 2, 2, 10, 33, 10, 10, 142, 142, 10, 42, 895, 1666, 895, 42, 42, 4314, 18390, 18390, 4314, 42, 170, 22921, 188370, 498597, 188370, 22921, 170, 170, 113486, 1941702, 10416690, 10416690, 1941702, 113486, 170, 682, 577071, 19499266, 232738767
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OFFSET
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1,1
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COMMENTS
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Table starts
...2........2..........10.............10................42...................42
...2.......33.........142............895..............4314................22921
..10......142........1666..........18390............188370..............1941702
..10......895.......18390.........498597..........10416690............232738767
..42.....4314......188370.......10416690.........439260642..........19763462754
..42....22921.....1941702......232738767.......19763462754........1825928130193
.170...113486....19499266.....4880746710......830550961170......155157177242886
.170...577071...196698070...104100946101....35491321238130....13464303796343791
.682..2877562..1968558130..2185333961490..1490799705490242..1144373527121975682
.682.14455993.19732383462.46071984907935.62885673930539394.97776065732064546321
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = a(n-1) +4*a(n-2) -4*a(n-3)
k=2: a(n) = 5*a(n-1) +12*a(n-2) -60*a(n-3) -39*a(n-4) +195*a(n-5) +28*a(n-6) -140*a(n-7)
k=3: [order 8]
k=4: [order 11]
k=5: [order 11]
k=6: [order 17]
k=7: [order 21]
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EXAMPLE
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Some solutions for n=3 k=4
..1..1..0..0..1....1..0..0..0..0....1..1..1..1..1....0..1..1..0..1
..0..1..0..1..0....1..0..1..0..0....0..1..0..0..0....1..0..1..1..0
..0..1..0..1..1....1..1..0..1..0....1..0..1..1..0....0..1..1..0..1
..0..0..1..1..1....0..0..0..0..1....1..1..1..0..0....0..1..0..0..0
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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