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A200787
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Number of 0..n arrays x(0..4) of 5 elements without any two consecutive increases
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1
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32, 216, 840, 2425, 5796, 12152, 23136, 40905, 68200, 108416, 165672, 244881, 351820, 493200, 676736, 911217, 1206576, 1573960, 2025800, 2575881, 3239412, 4033096, 4975200, 6085625, 7385976, 8899632, 10651816, 12669665, 14982300
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OFFSET
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1,1
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COMMENTS
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Row 3 of A200785
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..139
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FORMULA
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Empirical: a(n) = (7/12)*n^5 + (47/12)*n^4 + (39/4)*n^3 + (133/12)*n^2 + (17/3)*n + 1
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EXAMPLE
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Some solutions for n=3
..2....1....3....2....2....3....1....3....1....1....2....1....0....1....2....0
..0....0....3....3....1....2....3....1....3....2....0....0....3....3....2....0
..0....1....1....3....3....1....3....1....0....0....0....2....3....2....3....0
..3....1....1....1....1....0....3....2....3....3....3....2....1....1....0....0
..0....1....1....0....2....3....3....1....1....0....1....0....3....1....2....3
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CROSSREFS
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Sequence in context: A125342 A126500 A160538 * A146089 A070053 A022146
Adjacent sequences: A200784 A200785 A200786 * A200788 A200789 A200790
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin Nov 22 2011
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STATUS
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approved
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