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A206461
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Number of 0..n arrays of length n+7 avoiding the consecutive pattern 0..n
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1
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9, 14849, 1020000, 48718765, 2176455745, 96888186864, 4398044676096, 205891128374562, 9999999993000000, 505447028486892844, 26623333280864342016, 1461920290375412323014, 83668255425284748853824
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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+7)/(n+1))} ((-1)^i*(n+1)^((n+7) -(n+1)*i)*binomial((n+7) -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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