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A254900
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Number of (n+2) X (1+2) 0..1 arrays with every 3 X 3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally.
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2
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512, 2423, 7579, 22901, 72249, 219706, 616608, 1656147, 4391684, 11530065, 29828022, 76080145, 191906132, 479966380, 1193306087, 2951733688, 7264247735, 17792959607, 43422206773, 105672171019, 256535475334, 621345009200
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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) = 7*a(n-1) -17*a(n-2) +17*a(n-3) +a(n-4) -50*a(n-5) +65*a(n-6) +89*a(n-7) -180*a(n-8) +167*a(n-9) +282*a(n-10) -1618*a(n-11) +638*a(n-12) +1824*a(n-13) -5732*a(n-14) +14128*a(n-15) -14024*a(n-16) +19140*a(n-17) -28304*a(n-18) +24392*a(n-19) -30824*a(n-20) -7456*a(n-21) +46368*a(n-22) -51936*a(n-23) +69856*a(n-24) -70176*a(n-25) +230336*a(n-26) -527488*a(n-27) +862080*a(n-28) -1031040*a(n-29) +885248*a(n-30) -749824*a(n-31) +744960*a(n-32) -1154048*a(n-33) +1763328*a(n-34) -1860608*a(n-35) +1447936*a(n-36) -688128*a(n-37) +45056*a(n-38) -90112*a(n-39) +385024*a(n-40) -655360*a(n-41) +655360*a(n-42) -163840*a(n-43) -65536*a(n-44) for n>50.
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EXAMPLE
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Some solutions for n=4
..1..0..0....0..0..0....0..0..0....1..0..0....0..0..0....0..0..0....1..0..0
..0..0..0....1..0..0....1..1..0....0..0..0....0..0..0....0..1..1....0..0..1
..1..1..0....0..0..0....0..0..0....0..0..0....1..0..0....0..1..0....1..0..0
..0..1..0....0..1..1....1..1..0....1..1..0....0..1..1....1..1..0....0..0..1
..0..1..1....1..1..0....0..1..1....0..0..0....0..1..1....1..0..0....1..1..0
..1..0..1....1..1..0....1..0..0....1..0..0....1..0..0....1..1..1....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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