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A282346
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Least number m > 1 such that the central binomial coefficient C(2m,m) is divisible by m^n.
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6
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OFFSET
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1,1
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COMMENTS
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Equivalently, least number m > 1 such that the m-th Catalan number C(2m,m)/(m+1) is divisible by m^n. - Lucian Craciun, Mar 01 2017
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LINKS
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MATHEMATICA
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f[n_] := Block[{k = 2}, While[Mod[Binomial[2k, k], k^n] > 0, k++]; k]
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CROSSREFS
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KEYWORD
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nonn,hard,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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