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A183902
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Number of nondecreasing arrangements of n+3 numbers in 0..7 with each number being the sum mod 8 of three others
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0
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5, 22, 243, 1160, 3347, 7416, 14376, 25584, 42852, 68552, 105736, 158272, 230997, 329888, 462252, 636936, 864558, 1157760, 1531484, 2003272, 2593591, 3326184, 4228448, 5331840, 6672312, 8290776, 10233600, 12553136, 15308281
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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) = (1/5040)*n^7 + (7/720)*n^6 + (29/144)*n^5 + (329/144)*n^4 + (1259/90)*n^3 + (5167/180)*n^2 - (6955/21)*n + 312 for n>4
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EXAMPLE
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Some solutions for n=2
..2....1....1....0....1....0....0....2....0....4....1....2....3....0....1....3
..6....5....1....0....3....0....0....2....2....4....3....2....3....0....1....5
..6....5....3....2....3....0....0....2....2....4....3....6....5....4....5....7
..6....5....5....2....3....4....0....6....4....4....7....6....7....6....5....7
..6....7....5....4....7....4....0....6....4....4....7....6....7....6....7....7
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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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