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A279265
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Number of nX5 0..1 arrays with no element equal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.
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1
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5, 38, 240, 1592, 9042, 51568, 283450, 1526492, 8110769, 42557410, 221270081, 1141211474, 5846407067, 29780194244, 150943805823, 761780179606, 3829943970192, 19190669055102, 95869271616912, 477631625489180
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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) = 18*a(n-1) -133*a(n-2) +516*a(n-3) -1014*a(n-4) +88*a(n-5) +4608*a(n-6) -8364*a(n-7) -9733*a(n-8) +59824*a(n-9) -60755*a(n-10) -158718*a(n-11) +517639*a(n-12) -285032*a(n-13) -1154479*a(n-14) +2274544*a(n-15) +553945*a(n-16) -6902900*a(n-17) +7029598*a(n-18) +7184408*a(n-19) -23703614*a(n-20) +14268016*a(n-21) +20615435*a(n-22) -34536602*a(n-23) +2729363*a(n-24) +41857034*a(n-25) -23446347*a(n-26) -35485370*a(n-27) +43282185*a(n-28) -20257546*a(n-29) -45974459*a(n-30) -10797908*a(n-31) +28946430*a(n-32) +52002920*a(n-33) +15882763*a(n-34) +101221806*a(n-35) +118400316*a(n-36) +13029146*a(n-37) -115091113*a(n-38) -148192500*a(n-39) -221179112*a(n-40) -230136184*a(n-41) -47307082*a(n-42) +115675590*a(n-43) +219033475*a(n-44) +147567712*a(n-45) +40448454*a(n-46) -16088134*a(n-47) -59742983*a(n-48) -44175096*a(n-49) -17474920*a(n-50) +609788*a(n-51) +6992661*a(n-52) +4709828*a(n-53) +2409070*a(n-54) +295024*a(n-55) -360233*a(n-56) -247676*a(n-57) -81796*a(n-58) for n>69
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EXAMPLE
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Some solutions for n=4
..0..0..0..1..1. .0..1..0..1..1. .0..1..0..1..0. .0..1..0..0..1
..1..0..1..0..0. .1..0..1..0..1. .1..0..0..1..0. .1..0..1..1..1
..0..1..0..1..1. .0..0..1..1..0. .1..0..1..1..1. .0..1..1..0..0
..1..0..1..0..0. .1..1..0..1..0. .0..1..0..1..0. .1..0..0..1..1
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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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