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A203041
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Number of (n+3) X 4 binary arrays with no more than one of any consecutive four bits set in any row or column.
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1
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209, 637, 2005, 6365, 19957, 62393, 195261, 612041, 1918365, 6011045, 18832757, 59007013, 184888993, 579320337, 1815187133, 5687517861, 17820706801, 55837720705, 174956625753, 548192325273, 1717653145453, 5381929652993
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = 2*a(n-1) + 2*a(n-2) + a(n-3) + 10*a(n-4) + 7*a(n-5) - 4*a(n-7) - a(n-8).
Empirical g.f.: x*(209 + 219*x + 313*x^2 + 872*x^3 + 490*x^4 - 89*x^5 - 313*x^6 - 73*x^7) / (1 - 2*x - 2*x^2 - x^3 - 10*x^4 - 7*x^5 + 4*x^7 + x^8). - Colin Barker, Jun 03 2018
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EXAMPLE
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Some solutions for n=3:
0 1 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0
0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0
0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1
0 0 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0
0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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