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A268022
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Number of nX3 0..2 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.
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1
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27, 729, 13824, 250047, 4019679, 61162984, 876467493, 12040481088, 159131975059, 2037756289752, 25373307641625, 308367729216000, 3667582185888375, 42790530532833000, 490685528946353021, 5539482984199419072
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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) = 56*a(n-1) -1170*a(n-2) +8532*a(n-3) +59031*a(n-4) -1349748*a(n-5) +4015908*a(n-6) +64757664*a(n-7) -463647600*a(n-8) -1255566144*a(n-9) +19457594304*a(n-10) -3621049344*a(n-11) -467191259136*a(n-12) +700630695936*a(n-13) +7110421807104*a(n-14) -15956683259904*a(n-15) -70142096572416*a(n-16) +189870895005696*a(n-17) +438443477827584*a(n-18) -1332652586041344*a(n-19) -1652114199674880*a(n-20) +5489741298401280*a(n-21) +3651168878198784*a(n-22) -12532783289204736*a(n-23) -5719659487690752*a(n-24) +15199648742375424*a(n-25) +6966505673588736*a(n-26) -7881299347898368*a(n-27) -4503599627370496*a(n-28)
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EXAMPLE
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Some solutions for n=3
..1..2..1....2..2..1....0..1..2....1..1..1....2..0..2....0..1..1....0..2..2
..0..0..0....2..0..1....1..2..0....0..1..0....0..2..1....0..2..0....1..1..0
..1..1..2....1..1..0....0..0..0....1..2..2....2..0..2....2..1..1....2..2..2
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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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