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Search: id:A163734
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| A163734 |
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Number of nX3 binary arrays with all 1s connected, all corners 1, and no 1 having more than two 1s adjacent |
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+0
3
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| 1, 2, 5, 9, 17, 39, 95, 217, 473, 1011, 2147, 4545, 9601, 20255, 42703, 90001, 189657, 399627, 842019, 1774105, 3737937, 7875575, 16593247, 34960681, 73659385, 155194435, 326982211, 688925201, 1451509889, 3058214319, 6443410959
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Same recurrence for A163696
Same recurrence for A163715
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LINKS
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R. H. Hardin, Table of n, a(n) for n=1..53
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FORMULA
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Empirical: a(n)=4*a(n-1)-5*a(n-2)+2*a(n-3)+a(n-4)-2*a(n-5)+a(n-6) for n>=10
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EXAMPLE
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All solutions for n=5
...1.0.1...1.1.1...1.1.1...1.1.1...1.1.1...1.1.1...1.1.1...1.1.1...1.1.1
...1.0.1...1.0.1...0.0.1...0.0.1...1.0.1...1.0.1...0.0.1...1.0.1...1.0.0
...1.0.1...1.0.1...0.0.1...0.0.1...0.0.1...0.0.1...1.0.1...1.0.1...1.0.0
...1.0.1...1.0.1...0.0.1...1.0.1...0.0.1...1.0.1...1.0.1...0.0.1...1.0.0
...1.1.1...1.1.1...1.1.1...1.1.1...1.1.1...1.1.1...1.1.1...1.1.1...1.1.1
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...1.1.1...1.1.1...1.1.1...1.1.1...1.1.1...1.1.1...1.1.1...1.1.1
...1.0.0...1.0.1...1.0.1...1.0.0...1.0.0...1.0.1...0.0.1...1.0.1
...1.0.0...1.0.0...1.0.0...1.0.1...1.1.1...1.0.1...1.1.1...1.0.1
...1.0.1...1.0.0...1.0.1...1.0.1...0.0.1...1.0.0...1.0.0...1.0.1
...1.1.1...1.1.1...1.1.1...1.1.1...1.1.1...1.1.1...1.1.1...1.0.1
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CROSSREFS
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Sequence in context: A082281 A000569 A115851 this_sequence A019135 A069957 A091356
Adjacent sequences: A163731 A163732 A163733 this_sequence A163735 A163736 A163737
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KEYWORD
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nonn
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AUTHOR
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Ron Hardin (rhhardin(AT)att.net) Aug 03 2009
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