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A316214
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Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 4, 5 or 8 king-move adjacent elements, with upper left element zero.
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1
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8, 28, 75, 310, 1468, 5883, 25093, 108869, 463940, 1986171, 8536518, 36607272, 157097926, 674669588, 2896563138, 12438785892, 53424623277, 229451570948, 985550702393, 4233369125303, 18184230957117, 78112038108544
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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) = 4*a(n-1) +8*a(n-2) +28*a(n-3) -230*a(n-4) -368*a(n-5) +53*a(n-6) +5088*a(n-7) +6781*a(n-8) -7976*a(n-9) -60908*a(n-10) -66351*a(n-11) +103837*a(n-12) +442491*a(n-13) +387636*a(n-14) -667285*a(n-15) -2056660*a(n-16) -1451166*a(n-17) +2561215*a(n-18) +6311455*a(n-19) +3649829*a(n-20) -6267637*a(n-21) -13045989*a(n-22) -6577356*a(n-23) +9820868*a(n-24) +18639683*a(n-25) +9680153*a(n-26) -9136360*a(n-27) -19752012*a(n-28) -13530671*a(n-29) +3507009*a(n-30) +18236801*a(n-31) +17732691*a(n-32) +1569127*a(n-33) -17775199*a(n-34) -18568764*a(n-35) -1027489*a(n-36) +17236131*a(n-37) +13166391*a(n-38) -2749309*a(n-39) -12863222*a(n-40) -5219279*a(n-41) +4257952*a(n-42) +6203936*a(n-43) +472740*a(n-44) -2775913*a(n-45) -1690310*a(n-46) +482298*a(n-47) +981255*a(n-48) +129709*a(n-49) -211889*a(n-50) -179738*a(n-51) +59067*a(n-52) +34821*a(n-53) -4096*a(n-54) -4723*a(n-55) -4638*a(n-56) +5416*a(n-57) +782*a(n-58) -676*a(n-59) -240*a(n-60) -64*a(n-61) +48*a(n-62) for n>64
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EXAMPLE
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Some solutions for n=5
..0..0..0..1. .0..0..1..0. .0..0..0..0. .0..0..0..1. .0..0..0..0
..0..0..0..1. .0..0..0..1. .0..0..0..1. .0..0..0..1. .0..0..0..0
..0..1..1..1. .0..0..0..0. .1..0..0..0. .1..0..0..0. .0..0..0..0
..0..1..1..1. .0..0..0..1. .1..0..0..0. .0..0..0..0. .0..1..0..1
..1..1..1..1. .0..1..0..0. .0..0..0..0. .0..1..0..0. .0..0..0..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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