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A206577
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T(n,k)=Number of nXk 0..3 arrays avoiding the pattern z-1 z-1 z in any row, column or nw-to-se diagonal
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9
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4, 16, 16, 61, 256, 61, 232, 3721, 3721, 232, 882, 53824, 188699, 53824, 882, 3353, 777924, 9509750, 9509750, 777924, 3353, 12747, 11242609, 478456896, 1665431164, 478456896, 11242609, 12747, 48460, 162486009, 24071410239, 290967246344
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OFFSET
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1,1
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COMMENTS
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Table starts
.....4.........16.............61.................232.....................882
....16........256...........3721...............53824..................777924
....61.......3721.........188699.............9509750...............478456896
...232......53824........9509750..........1665431164............290967246344
...882.....777924......478456896........290967246344.........176372042982658
..3353...11242609....24071410239......50835598921675......106921561045262424
.12747..162486009..1211164182464....8882668617521828....64829265966214645776
.48460.2348371600.60940227961282.1552079697677787063.39306166321588974667092
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..84
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EXAMPLE
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Some solutions for n=4 k=3
..2..2..1....2..1..2....0..0..3....3..1..1....0..3..3....1..1..0....0..0..3
..0..0..3....3..0..1....0..1..1....1..3..3....0..1..3....3..2..3....2..3..1
..0..0..2....2..0..0....2..0..2....3..1..3....2..1..1....3..0..0....1..2..0
..2..2..0....1..3..0....2..1..0....1..3..3....2..1..1....2..1..3....1..0..0
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CROSSREFS
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Sequence in context: A269289 A267933 A206974 * A207582 A207057 A206797
Adjacent sequences: A206574 A206575 A206576 * A206578 A206579 A206580
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin Feb 09 2012
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STATUS
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approved
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