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A240194
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Number of 4Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or three plus the sum of the elements diagonally to its northwest, modulo 4
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1
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4, 27, 138, 771, 5240, 40765, 336257, 2843914, 24331713, 209365217, 1806459338, 15606899530, 134920604706, 1166738652794, 10090988027354, 87282067470301, 754973088693125, 6530482231898003, 56488830699787694, 488631696598081278
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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) = 27*a(n-1) -294*a(n-2) +1660*a(n-3) -4909*a(n-4) +4008*a(n-5) +28110*a(n-6) -141830*a(n-7) +316164*a(n-8) -141103*a(n-9) -1161198*a(n-10) +2896480*a(n-11) -1515959*a(n-12) -3659154*a(n-13) +5143300*a(n-14) -13602*a(n-15) -280443*a(n-16) -7998970*a(n-17) +9853042*a(n-18) +2165540*a(n-19) -18119292*a(n-20) +21393552*a(n-21) -1551144*a(n-22) -20485792*a(n-23) +14878784*a(n-24) +4182464*a(n-25) -7981312*a(n-26) +1462784*a(n-27) +1097728*a(n-28) -368640*a(n-29) for n>34
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EXAMPLE
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Some solutions for n=4
..2..0..0..0....2..0..0..0....2..0..0..0....2..0..0..0....2..0..0..0
..1..2..2..0....1..0..2..2....1..2..2..2....1..2..2..2....1..0..2..0
..2..1..1..3....1..3..2..0....2..1..2..2....2..1..2..0....1..3..2..3
..1..3..3..2....2..3..0..0....1..3..3..2....1..3..3..2....2..1..0..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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