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A297580
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Number of nX6 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 4 neighboring 1s.
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1
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9, 93, 688, 5263, 47968, 395011, 3230902, 27481626, 229676841, 1910165184, 16025802938, 134083375797, 1119947127057, 9371655819528, 78394858172957, 655469582914166, 5482454528107606, 45855352909036892, 383489210777394048
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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) = 2*a(n-1) +19*a(n-2) +274*a(n-3) +371*a(n-4) -774*a(n-5) -11136*a(n-6) -18206*a(n-7) +26668*a(n-8) +322423*a(n-9) +399102*a(n-10) -760258*a(n-11) -5477958*a(n-12) -5062444*a(n-13) +11954495*a(n-14) +61297801*a(n-15) +20115817*a(n-16) -133338427*a(n-17) -318716953*a(n-18) -47567293*a(n-19) +866786790*a(n-20) +202855711*a(n-21) +1123114289*a(n-22) -2286997886*a(n-23) +1572016215*a(n-24) -3961782327*a(n-25) +1860280038*a(n-26) -5298119154*a(n-27) +5781884700*a(n-28) +256445384*a(n-29) +5062740269*a(n-30) -3274112499*a(n-31) +84817366*a(n-32) +637130732*a(n-33) +1865545527*a(n-34) -2576673499*a(n-35) -2811843247*a(n-36) +962421764*a(n-37) +1934863310*a(n-38) +1032987214*a(n-39) -1300934567*a(n-40) -764165382*a(n-41) -125297218*a(n-42) +282758482*a(n-43) +46121421*a(n-44) +69777078*a(n-45) -17220358*a(n-46) +31125795*a(n-47) -7036757*a(n-48) -10143494*a(n-49) +4923618*a(n-50) -1144863*a(n-51) -2061946*a(n-52) +1722222*a(n-53) -252310*a(n-54) +116592*a(n-55) +17108*a(n-56) -49896*a(n-57)
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EXAMPLE
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Some solutions for n=5
..1..1..0..1..0..0. .1..0..1..0..1..1. .0..0..0..1..1..0. .1..1..0..1..1..1
..0..0..0..0..1..0. .0..1..1..0..0..0. .1..0..0..0..0..0. .0..0..0..1..0..1
..0..0..1..0..0..0. .1..0..0..0..1..1. .0..1..0..0..1..1. .0..0..0..0..0..1
..0..1..1..0..1..0. .1..0..0..0..0..0. .0..0..0..0..0..0. .0..0..0..1..1..1
..1..0..1..0..0..1. .0..1..0..0..1..1. .0..1..1..0..1..1. .0..0..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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