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A212828
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Number of 0..7 arrays of length n with no adjacent pair equal to its immediately preceding adjacent pair, and new values introduced in 0..7 order
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1
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1, 2, 5, 13, 44, 168, 717, 3360, 17091, 93492, 545670, 3372738, 21911216, 148486735, 1041923520, 7518618028, 55460237723, 416078640459, 3161904730760, 24261222270154, 187499556005523, 1456815538485716, 11363752138036864
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OFFSET
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1,2
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = 22*a(n-1) -168*a(n-2) +440*a(n-3) +421*a(n-4) -2898*a(n-5) -924*a(n-6) +7944*a(n-7) +5931*a(n-8) -6610*a(n-9) -10562*a(n-10) -5040*a(n-11) -840*a(n-12) for n>15
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EXAMPLE
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Some solutions for n=8
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....0....1....1....1....1....1....1....1....1....1....1....1....0....0....1
..2....1....2....2....2....0....1....0....2....1....1....2....2....1....1....1
..2....1....1....0....2....2....2....2....3....0....0....3....3....2....2....2
..3....1....3....1....0....0....1....3....2....1....2....3....0....1....1....1
..4....2....2....2....2....3....3....0....4....2....1....0....1....1....1....1
..3....3....4....1....1....3....4....0....1....1....0....1....4....1....3....2
..5....0....4....0....0....4....4....0....4....0....0....3....4....3....0....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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