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A186845
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Number of (n+1)X5 binary arrays with no 2X2 subblock diagonal sum less antidiagonal sum equal to any horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum
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1
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512, 4194, 36988, 313412, 2679366, 22982034, 196096944, 1675514684, 14324706908, 122399599022, 1045978248158, 8939184979380, 76391940606880, 652831702994536, 5579032744786026, 47677545662063330, 407445169101665904
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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)=3*a(n-1)+22*a(n-2)+189*a(n-3)+260*a(n-4)+85*a(n-5)-1680*a(n-6)-4043*a(n-7)-4400*a(n-8)-13546*a(n-9)+13946*a(n-10)+56404*a(n-11)+230086*a(n-12)+252819*a(n-13)-187915*a(n-14)-799809*a(n-15)-2814268*a(n-16)-1329079*a(n-17)-1096497*a(n-18)+7541271*a(n-19)+13765860*a(n-20)+26386971*a(n-21)+5858979*a(n-22)-36979941*a(n-23)-92255551*a(n-24)-20494425*a(n-25)+20755236*a(n-26)+116599043*a(n-27)-16170165*a(n-28)+36077109*a(n-29)-62495789*a(n-30)+23873523*a(n-31)-36102678*a(n-32)+13081133*a(n-33)+835569*a(n-34)+230969*a(n-35)-719638*a(n-36)+4172847*a(n-37)-536371*a(n-38)+417666*a(n-39)-3123424*a(n-40)+1709226*a(n-41)-98800*a(n-42)+135240*a(n-43)-98051*a(n-44)-104636*a(n-45)+124283*a(n-46)-14637*a(n-47)-19679*a(n-48)+340*a(n-49)+788*a(n-50)+460*a(n-51)+152*a(n-52)-32*a(n-53) for n>55
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EXAMPLE
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Some solutions for 3X5
..1..1..0..0..0....1..0..1..0..0....0..0..0..1..1....1..0..1..1..0
..0..1..0..1..1....0..1..0..1..0....0..0..1..0..1....0..1..1..1..1
..0..0..0..0..1....0..0..1..0..0....0..1..0..0..1....1..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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