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A283729
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Number of 4Xn 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element.
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1
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0, 36, 1304, 15228, 185564, 2258212, 25260000, 278215520, 3023291712, 32251956888, 340430533518, 3561745440716, 36963685994638, 381138870886696, 3908244620747464, 39880799122343264, 405240128230119230
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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) = 16*a(n-1) -36*a(n-2) -60*a(n-3) -2824*a(n-4) +6678*a(n-5) +26842*a(n-6) +118692*a(n-7) -419608*a(n-8) -1491346*a(n-9) +317571*a(n-10) +8792678*a(n-11) +14707123*a(n-12) -19320158*a(n-13) -68768256*a(n-14) -39266756*a(n-15) +109017454*a(n-16) +213826284*a(n-17) +7506917*a(n-18) -211952462*a(n-19) -255284484*a(n-20) -102114938*a(n-21) +272678092*a(n-22) +193703130*a(n-23) +51860112*a(n-24) +22331788*a(n-25) -191765939*a(n-26) -61918424*a(n-27) -9275857*a(n-28) -17862812*a(n-29) +101684959*a(n-30) +8797290*a(n-31) -23032735*a(n-32) +11615934*a(n-33) -14849452*a(n-34) -5258668*a(n-35) +4609246*a(n-36) +769830*a(n-37) +648759*a(n-38) -260876*a(n-39) -221306*a(n-40) +32660*a(n-41) -1881*a(n-42) +9408*a(n-43) -712*a(n-44) -320*a(n-45) -16*a(n-46)
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EXAMPLE
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Some solutions for n=4
..1..0..0..1. .0..1..0..1. .1..0..0..1. .0..0..0..1. .0..0..1..0
..0..0..1..1. .1..0..1..1. .1..0..1..0. .1..0..0..1. .0..0..1..1
..0..0..0..1. .0..0..1..0. .0..0..1..1. .1..1..0..0. .1..0..1..0
..1..0..0..1. .0..0..1..1. .0..0..1..0. .1..1..0..1. .0..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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