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A206689
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Number of nX5 0..3 arrays with no element equal to another within two positions in the same row or column, and new values 0..3 introduced in row major order
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1
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4, 116, 704, 4704, 31504, 213788, 1454810, 9933294, 67923354, 464901756, 3183631874, 21807955698, 149409637478, 1023727198288, 7014765000890, 48067928493696, 329386094806172, 2257144779520590, 15467353757059122
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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) = 15*a(n-1) -51*a(n-2) -193*a(n-3) +1051*a(n-4) +2372*a(n-5) -12985*a(n-6) -28529*a(n-7) +129318*a(n-8) +212356*a(n-9) -839013*a(n-10) -1225696*a(n-11) +3710749*a(n-12) +5631517*a(n-13) -12635093*a(n-14) -10482155*a(n-15) +20618112*a(n-16) -52448859*a(n-17) +89397201*a(n-18) +475219332*a(n-19) -737964757*a(n-20) -2124354526*a(n-21) +2768115261*a(n-22) +6892655423*a(n-23) -7216788413*a(n-24) -17073837012*a(n-25) +13711465539*a(n-26) +33849631222*a(n-27) -19860441490*a(n-28) -54273123627*a(n-29) +22693872893*a(n-30) +69529238877*a(n-31) -18479245923*a(n-32) -75447262323*a(n-33) +12929746123*a(n-34) +69053543781*a(n-35) -12580606120*a(n-36) -47563475725*a(n-37) +7500075785*a(n-38) +28981491455*a(n-39) -2451216650*a(n-40) -19568112616*a(n-41) +4647832637*a(n-42) +9173909442*a(n-43) -4357897047*a(n-44) -1874621589*a(n-45) +1362472381*a(n-46) +274611989*a(n-47) -277377765*a(n-48) -85579555*a(n-49) +103689018*a(n-50) -6885628*a(n-51) -13682116*a(n-52) +1459344*a(n-53) +585424*a(n-54) +164352*a(n-55) for n>57
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EXAMPLE
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Some solutions for n=4
..0..1..2..0..3....0..1..2..0..1....0..1..2..3..1....0..1..2..0..3
..2..3..1..2..0....1..3..0..1..3....1..3..0..1..2....1..3..0..1..2
..1..2..3..1..2....2..0..3..2..0....3..2..1..0..3....2..0..1..2..0
..0..1..2..0..1....3..1..2..3..1....2..1..3..2..0....3..1..2..0..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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