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A080391
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Number of integers among the following n+1 quotients: A001405(n)/A001405(k), k=0,..,n. Number of values k for which the n-th central binomial coefficient[cbc] is divisible by the k-th cbc-s k=0,..n.
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0
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1, 2, 3, 3, 5, 4, 5, 3, 6, 6, 7, 6, 7, 6, 7, 4, 8, 5, 7, 4, 5, 6, 7, 4, 5, 8, 9, 8, 9, 8, 9, 4, 8, 7, 9, 10, 13, 12, 13, 13, 18, 9, 11, 8, 9, 8, 9, 7, 9, 8, 9, 8, 9, 4, 5, 8, 9, 12, 13, 4, 5, 4, 5, 4, 9, 9, 12, 9, 11, 8, 9, 4, 5, 4, 5, 10, 11, 8, 9, 7, 9, 14, 15, 14, 15, 14, 15, 12, 13, 12, 13, 12, 13
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OFFSET
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0,2
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LINKS
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EXAMPLE
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n=11: the 12 relevant C(11,5)/C(k,floor(k/2)) quotients are {462,462,231,154,77,231/5,231/10,66/5,33/5,11/3,11/6,1}; of which a(12)=6 are integers.
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MATHEMATICA
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Table[Count[Table[IntegerQ[Binomial[n, Floor[n/2]]/ Binomial[i, Floor[i/2]]], {i, 0, n}], True], {n, 1, 256}]
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CROSSREFS
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KEYWORD
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nonn,changed
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AUTHOR
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STATUS
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approved
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