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A228283
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Number of nX8 binary arrays with top left value 1 and no two ones adjacent horizontally, vertically or nw-se diagonally.
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2
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21, 129, 3154, 44024, 745178, 11771298, 190540884, 3057290265, 49208639399, 791176762937, 12725363193829, 204647839919537, 3291296999329711, 52931964429099939, 851279732514835940, 13690693829364308175
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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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a(n) = a(n-1) +170*a(n-2) +1243*a(n-3) +452*a(n-4) -25328*a(n-5) -47829*a(n-6) +329977*a(n-7) +677669*a(n-8) -3899000*a(n-9) -4142351*a(n-10) +40598266*a(n-11) -22625542*a(n-12) -280040412*a(n-13) +733571937*a(n-14) +225285263*a(n-15) -5406913431*a(n-16) +15244941445*a(n-17) -23143116063*a(n-18) +18064627845*a(n-19) +2246759550*a(n-20) -21472294755*a(n-21) +18258761486*a(n-22) +5172378119*a(n-23) -19704882159*a(n-24) +6931675953*a(n-25) +12628340471*a(n-26) -10036097232*a(n-27) -6485990080*a(n-28) +8290578844*a(n-29) +3493944338*a(n-30) -5396581563*a(n-31) -2482388885*a(n-32) +2807416030*a(n-33) +2023351213*a(n-34) -877760575*a(n-35) -1366907685*a(n-36) -211758176*a(n-37) +511379314*a(n-38) +405881894*a(n-39) +67901250*a(n-40) -105839886*a(n-41) -110007288*a(n-42) -59224072*a(n-43) -20510652*a(n-44) -4214944*a(n-45) -234085*a(n-46) +87637*a(n-47) -2782*a(n-48) -10138*a(n-49) -671*a(n-50) +608*a(n-51) +45*a(n-52) -30*a(n-53) -a(n-54) +a(n-55)
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EXAMPLE
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Some solutions for n=4
..1..0..0..0..1..0..1..0....1..0..0..1..0..0..1..0....1..0..0..0..1..0..0..0
..0..0..0..1..0..0..0..0....0..0..1..0..0..1..0..0....0..0..1..0..0..0..1..0
..0..0..0..0..0..1..0..0....0..0..0..0..1..0..0..0....0..0..0..0..0..0..0..0
..1..0..1..0..1..0..0..1....0..1..0..1..0..0..1..0....0..0..0..0..1..0..1..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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EXTENSIONS
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STATUS
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approved
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