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A206458
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Number of 0..n arrays of length n+4 avoiding the consecutive pattern 0..n
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1
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6, 622, 16128, 390125, 10076832, 282473877, 8589932544, 282429533565, 9999999996000, 379749833577917, 15407021574579456, 665416609183171053, 30491346729331184928, 1477891880035400377125, 75557863725914323402752
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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) = sum{i in 0..floor((n+4)/(n+1))} ((-1)^i*(n+1)^((n+4) -(n+1)*i)*binomial((n+4) -n*i,i))
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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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