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A072120
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Least k such that n! divides C(2k,k).
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0
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1, 1, 2, 7, 14, 15, 43, 191, 239, 383, 383, 1919, 1919, 3967, 4091, 65471, 65471, 129023, 129023, 516095, 516095, 917503, 1046527, 8323071, 8323071, 16760831, 16760831, 113246207, 113246207, 367001599, 367001599, 4294967291
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OFFSET
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1,3
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LINKS
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MATHEMATICA
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a[n_] := Block[{k = 1}, While[ !IntegerQ[ Binomial[2k, k] / n! ], k++ ]; k]; Table[ a[n], {n, 1, 16}]
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PROG
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(PARI) for(n=1, 16, s=1; while(binomial(2*s, s)%n!>0, s++); print1(s, ", "))
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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