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A189111
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T(n,k)=Number of nXk binary arrays without the pattern 1 1 0 diagonally or antidiagonally
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13
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2, 4, 4, 8, 16, 8, 16, 64, 64, 16, 32, 256, 400, 256, 32, 64, 1024, 2500, 2500, 1024, 64, 128, 4096, 16100, 23716, 15200, 4096, 128, 256, 16384, 103684, 244000, 207936, 92416, 16384, 256, 512, 65536, 665252, 2515396, 3179520, 1806336, 560576, 65536
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OFFSET
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1,1
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COMMENTS
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Table starts
....2.......4.........8.........16............32..............64
....4......16........64........256..........1024............4096
....8......64.......400.......2500.........16100..........103684
...16.....256......2500......23716........244000.........2515396
...32....1024.....15200.....207936.......3179520........49561600
...64....4096.....92416....1806336......40933920.......953574400
..128...16384....560576...15523600.....517260800.....17821182016
..256...65536...3400336..133079296....6517280000....332070977536
..512..262144..20623296.1138927504...81726092800...6138818896896
.1024.1048576.125081856.9743269264.1024109836800.113361334648384
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..545
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EXAMPLE
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Some solutions for 5X3
..1..0..1....0..1..0....0..0..0....0..1..1....0..0..1....0..1..1....1..0..1
..0..0..0....0..0..0....1..1..1....0..0..0....0..0..0....0..1..0....1..0..1
..1..1..1....1..0..0....0..0..1....1..0..1....0..1..0....1..1..0....1..0..0
..1..0..0....1..0..1....0..0..0....1..0..0....1..0..0....0..0..1....0..0..0
..1..0..0....1..0..1....1..1..1....1..0..0....0..1..0....0..0..0....0..0..1
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CROSSREFS
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Row 3 is A181214
Sequence in context: A282316 A228986 A188910 * A181217 A223569 A227594
Adjacent sequences: A189108 A189109 A189110 * A189112 A189113 A189114
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin Apr 16 2011
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STATUS
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approved
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