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A219411
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Unmatched value maps: number of 2 X n binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..2 2 X n array.
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1
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1, 7, 28, 98, 351, 1261, 4523, 16233, 58268, 209132, 750597, 2693993, 9669101, 34703683, 124556124, 447048462, 1604516243, 5758821685, 20669175143, 74184412085, 266257698140, 955634207080, 3429897967721, 12310358902801
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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) = 4*a(n-1) - 3*a(n-2) + 6*a(n-3) - 3*a(n-4) + 4*a(n-5).
Empirical g.f.: x*(1 + 3*x + 3*x^2 + x^3 + 4*x^4) / ((1 - x + x^2)*(1 - 3*x - x^2 - 4*x^3)). - Colin Barker, Jul 26 2018
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EXAMPLE
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Some solutions for n=3:
..0..0..1....0..0..1....0..0..0....0..0..0....0..0..0....1..0..0....1..1..1
..1..1..1....1..0..0....0..0..0....1..0..0....1..0..1....0..0..1....1..0..0
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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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