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A188848
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Number of nX6 binary arrays without the pattern 0 0 1 vertically, antidiagonally or horizontally
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1
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33, 1089, 14265, 185351, 2065977, 23131221, 251417066, 2738402462, 29645845119, 321142446865, 3474419918530, 37595472825962, 406698937261904, 4399741699254869, 47594496607398198, 514861267860306967
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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) = 9*a(n-1) +99*a(n-2) -707*a(n-3) -4203*a(n-4) +22165*a(n-5) +105942*a(n-6) -370199*a(n-7) -1799584*a(n-8) +3765397*a(n-9) +21168453*a(n-10) -24205909*a(n-11) -176297779*a(n-12) +93525881*a(n-13) +1067198019*a(n-14) -149413181*a(n-15) -4821078649*a(n-16) -490494925*a(n-17) +16712369275*a(n-18) +3966137410*a(n-19) -45844524838*a(n-20) -13213662476*a(n-21) +102799441964*a(n-22) +27250339183*a(n-23) -194240907465*a(n-24) -34595439879*a(n-25) +316761667077*a(n-26) +14192544418*a(n-27) -452273943570*a(n-28) +49314433804*a(n-29) +567287181257*a(n-30) -145167755646*a(n-31) -620983305673*a(n-32) +233505043748*a(n-33) +585670376841*a(n-34) -270733303775*a(n-35) -468632070694*a(n-36) +242800844739*a(n-37) +312900230062*a(n-38) -173206009080*a(n-39) -171196431111*a(n-40) +99624668654*a(n-41) +75229149578*a(n-42) -46437490099*a(n-43) -25942374035*a(n-44) +17444582263*a(n-45) +6792333900*a(n-46) -5177526557*a(n-47) -1265857033*a(n-48) +1172005576*a(n-49) +141708149*a(n-50) -191873874*a(n-51) -3039521*a(n-52) +20914032*a(n-53) -1463384*a(n-54) -1318240*a(n-55) +172652*a(n-56) +37732*a(n-57) -5792*a(n-58) -464*a(n-59) +64*a(n-60) for n>65
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EXAMPLE
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Some solutions for 3X6
..1..1..1..1..1..0....0..1..1..0..0..0....1..0..1..1..1..0....1..0..1..0..1..1
..0..1..0..1..1..0....1..1..1..1..1..1....1..0..1..0..1..1....1..1..0..1..0..0
..1..0..1..0..0..0....1..1..1..0..1..1....1..0..1..0..0..0....1..0..0..0..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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