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A197526
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Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,4,1,0,1 for x=0,1,2,3,4
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1
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1, 17, 308, 2131, 26282, 266240, 2818424, 29249599, 308300414, 3239050114, 33917534848, 356001407488, 3736740898853, 39200753974016, 411284436121799, 4315679852563777, 45282304376141812, 475113528147885886
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OFFSET
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1,2
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COMMENTS
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Every 0 is next to 0 4's, every 1 is next to 1 4's, every 2 is next to 2 1's, every 3 is next to 3 0's, every 4 is next to 4 1's
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LINKS
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FORMULA
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Empirical: a(n) = 2*a(n-1) +21*a(n-2) +417*a(n-3) +2628*a(n-4) +7416*a(n-5) +6599*a(n-6) -148658*a(n-7) -1202747*a(n-8) -4261374*a(n-9) -11460566*a(n-10) -30601089*a(n-11) -2495627*a(n-12) +193883231*a(n-13) +597083358*a(n-14) +2680098567*a(n-15) +6078428668*a(n-16) +5259222092*a(n-17) +13699467254*a(n-18) -20984179045*a(n-19) -103523980481*a(n-20) -114649456584*a(n-21) -402439231493*a(n-22) -93362696864*a(n-23) +352109195007*a(n-24) +1318918655781*a(n-25) +1825712887569*a(n-26) -1179707190764*a(n-27) -1450315407286*a(n-28) +2141865861879*a(n-29) +407466934700*a(n-30) -3915858478394*a(n-31) +5369272369956*a(n-32) -5525271195168*a(n-33) +2540216115080*a(n-34) -1655487296336*a(n-35) -1962323677408*a(n-36) +3052038181504*a(n-37) -374661032192*a(n-38) +85361399808*a(n-39) -68100030464*a(n-40) -67951345664*a(n-41) +8175304704*a(n-42) -1167654912*a(n-43) +1590951936*a(n-44)
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EXAMPLE
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Some solutions containing all values 0 to 4 for n=4
..0..0..0..0..0....0..0..2..1..0....0..0..0..3..0....0..3..0..0..0
..0..0..2..1..2....0..0..1..4..1....2..1..0..0..0....0..0..2..1..2
..0..0..1..4..1....3..0..2..1..0....1..4..1..3..0....3..0..1..4..1
..0..3..0..1..2....0..0..0..0..0....2..1..0..0..0....0..3..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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STATUS
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approved
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