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A252329
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Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 8
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1
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6089, 6222, 10070, 22016, 68675, 180469, 503439, 1603276, 4554309, 13198911, 42321262, 123032456, 365923870, 1183764527, 3477836469, 10490088213, 34100824690, 100813753401, 306346399367, 998375745118, 2961333456864
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OFFSET
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1,1
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COMMENTS
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Column 3 of A252334
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..210
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FORMULA
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Empirical: a(n) = 58*a(n-3) -1122*a(n-6) +10005*a(n-9) -54999*a(n-12) +226911*a(n-15) -741086*a(n-18) +1816623*a(n-21) -3182005*a(n-24) +3900573*a(n-27) -3282696*a(n-30) +1827728*a(n-33) -630683*a(n-36) +121014*a(n-39) -10608*a(n-42) +288*a(n-45) for n>50
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EXAMPLE
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Some solutions for n=4
..3..0..2..3..3....2..3..3..2..3....0..3..2..3..1....2..3..3..2..0
..0..3..2..3..3....2..2..2..1..2....3..3..2..0..3....1..2..2..1..2
..2..2..1..2..2....2..0..3..2..3....2..2..1..2..2....2..3..0..2..3
..3..3..2..3..0....2..3..0..2..3....3..3..2..3..3....2..0..3..2..3
..0..3..2..3..3....1..2..2..1..2....3..3..2..0..3....1..2..2..1..2
..2..2..1..2..2....2..0..3..2..1....2..2..1..2..2....2..3..3..0..0
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CROSSREFS
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Sequence in context: A025515 A031576 A204966 * A156200 A236824 A211929
Adjacent sequences: A252326 A252327 A252328 * A252330 A252331 A252332
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Dec 16 2014
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STATUS
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approved
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