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A206456
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Number of 0..n arrays of length n+2 avoiding the consecutive pattern 0..n
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1
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4, 75, 1016, 15615, 279924, 5764787, 134217712, 3486784383, 99999999980, 3138428376699, 106993205379048, 3937376385699263, 155568095557812196, 6568408355712890595, 295147905179352825824, 14063084452067724990975
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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+2)/(n+1))} ((-1)^i*(n+1)^((n+2) -(n+1)*i)*binomial((n+2) -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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