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A204705
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T(n,k) = Number of n X k 0..2 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..2 introduced in row major order.
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8
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1, 2, 2, 4, 14, 4, 11, 96, 96, 11, 30, 726, 1417, 726, 30, 82, 5400, 22869, 22869, 5400, 82, 224, 40344, 362020, 835135, 362020, 40344, 224, 612, 301056, 5767683, 29846373, 29846373, 5767683, 301056, 612, 1672, 2247264, 91733605, 1074195735, 2389914827
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OFFSET
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1,2
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COMMENTS
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Table starts
...1.......2..........4............11...............30..................82
...2......14.........96...........726.............5400...............40344
...4......96.......1417.........22869...........362020.............5767683
..11.....726......22869........835135.........29846373..........1074195735
..30....5400.....362020......29846373.......2389914827........192759130113
..82...40344....5767683....1074195735.....192759130113......34925753412578
.224..301056...91733605...38585324821...15521787839696....6319625580942184
.612.2247264.1459710274.1386815731346.1250634888842984.1144097011453760287
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..127
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EXAMPLE
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Some solutions for n=5, k=3
..0..0..1....0..0..1....0..1..2....0..1..0....0..1..0....0..0..1....0..0..1
..1..0..0....2..0..1....1..1..2....2..1..2....0..1..1....1..2..2....1..0..2
..0..2..1....2..1..2....1..2..1....2..2..1....1..0..2....2..1..2....2..1..1
..0..0..2....1..2..1....0..1..2....0..1..1....1..2..2....2..2..0....0..1..2
..1..0..1....0..2..1....2..1..2....0..0..2....2..0..0....0..1..1....0..2..1
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CROSSREFS
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Column 1 is A021006(n-3).
Sequence in context: A360922 A267957 A204978 * A206650 A268049 A267911
Adjacent sequences: A204702 A204703 A204704 * A204706 A204707 A204708
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin, Jan 18 2012
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STATUS
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approved
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