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A194934
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Number of lower triangles of a 5 X 5 0..n array with no element differing from any of its horizontal or vertical neighbors by more than one.
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1
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32768, 344091, 882318, 1481501, 2089736, 2698979, 3308286, 3917595, 4526904, 5136213, 5745522, 6354831, 6964140, 7573449, 8182758, 8792067, 9401376, 10010685, 10619994, 11229303, 11838612, 12447921, 13057230, 13666539, 14275848
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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) = 609309*n - 956877 for n>6.
Empirical g.f.: x*(32768 + 278555*x + 226904*x^2 + 60956*x^3 + 9052*x^4 + 1008*x^5 + 64*x^6+ 2*x^7) / (1 - x)^2. - Colin Barker, May 05 2018
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EXAMPLE
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Some solutions for n=2:
..1..........2..........1..........0..........2..........0..........1
..0.0........1.1........2.1........1.1........1.0........1.1........2.1
..1.0.1......0.1.1......2.1.1......1.1.1......2.1.1......2.1.1......1.1.0
..2.1.1.1....1.2.1.1....2.1.1.1....2.1.1.1....2.2.1.1....1.0.1.1....1.0.0.1
..2.2.2.1.1..1.1.0.1.1..1.1.1.2.2..2.1.0.1.2..2.2.1.1.1..2.1.1.2.1..1.0.1.2.2
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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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