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A188710
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Number of 6 X n binary arrays without the pattern 0 0 diagonally or vertically.
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1
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21, 288, 4084, 57665, 813309, 11462588, 161506225, 2275402541, 32056524184, 451618426905, 6362474783637, 89635548416108, 1262799579803897, 17790516723173509, 250635561977240232, 3530992705334939489
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OFFSET
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1,1
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COMMENTS
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Row 6 of A188706.
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..200
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FORMULA
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Empirical: a(n) = 21*a(n-1) - 112*a(n-2) + 217*a(n-3) - 157*a(n-4) + 36*a(n-5) for n>6.
Empirical g.f.: x*(21 - 153*x + 388*x^2 - 400*x^3 + 553*x^4 - 189*x^5) / (1 - 21*x + 112*x^2 - 217*x^3 + 157*x^4 - 36*x^5). - Colin Barker, Apr 28 2018
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EXAMPLE
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Some solutions for 6 X 3:
1 0 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0
1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 0 1 1 0 0 1
1 1 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1
0 0 1 0 1 1 0 0 0 1 1 1 0 1 1 0 0 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
0 1 0 0 0 1 0 1 0 0 1 1 0 0 0 0 1 1 1 1 0
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CROSSREFS
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Cf. A188706.
Sequence in context: A296633 A025971 A346844 * A304354 A305917 A316238
Adjacent sequences: A188707 A188708 A188709 * A188711 A188712 A188713
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Apr 08 2011
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STATUS
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approved
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