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A318013
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Number of nX5 0..1 arrays with every element unequal to 0, 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
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1
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16, 338, 2130, 17703, 133136, 1033121, 7960400, 61442813, 473867122, 3655208840, 28191776637, 217440594949, 1677091399950, 12935220273973, 99767850363242, 769498052672954, 5935050680553926, 45776370159339585, 353067930786737702
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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) = 8*a(n-1) +20*a(n-2) -178*a(n-3) -133*a(n-4) +1457*a(n-5) +229*a(n-6) -3767*a(n-7) +1604*a(n-8) -17083*a(n-9) -20904*a(n-10) +173201*a(n-11) +202212*a(n-12) -831126*a(n-13) -1256182*a(n-14) +3403061*a(n-15) +4253774*a(n-16) -11699625*a(n-17) -6680097*a(n-18) +28322072*a(n-19) -2645665*a(n-20) -40790067*a(n-21) +36479997*a(n-22) +11280476*a(n-23) -84094546*a(n-24) +101624162*a(n-25) +93470289*a(n-26) -282983523*a(n-27) -12820853*a(n-28) +436883259*a(n-29) -136772424*a(n-30) -458227773*a(n-31) +261645068*a(n-32) +329222395*a(n-33) -281524971*a(n-34) -137294396*a(n-35) +208179168*a(n-36) -13787843*a(n-37) -110888096*a(n-38) +82675746*a(n-39) +35123902*a(n-40) -80847975*a(n-41) +4683984*a(n-42) +47836163*a(n-43) -13649560*a(n-44) -19626484*a(n-45) +9320839*a(n-46) +5634785*a(n-47) -3908759*a(n-48) -924491*a(n-49) +943722*a(n-50) +32289*a(n-51) -77166*a(n-52) +7151*a(n-53) -17074*a(n-54) -886*a(n-55) +5570*a(n-56) +391*a(n-57) -465*a(n-58) -5*a(n-59) +6*a(n-60) -2*a(n-61) for n>65
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EXAMPLE
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Some solutions for n=5
..0..0..1..0..1. .0..0..1..0..0. .0..1..0..1..1. .0..0..0..1..1
..0..1..0..0..1. .0..0..1..1..1. .1..0..0..0..0. .0..0..1..1..0
..1..1..0..1..1. .0..1..1..1..0. .1..0..0..0..1. .0..0..1..1..0
..1..1..0..1..1. .0..1..1..0..0. .0..0..0..1..0. .0..0..1..1..1
..1..0..0..1..1. .0..0..1..0..0. .0..1..1..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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