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Search: id:A072119
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| A072119 |
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Least k such that k(k+1)(k+2)...(k+n) divides C(2k,k). |
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+0 1
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| 1, 15, 42, 153, 153, 209, 943, 1989, 3318, 11725, 14322, 30191, 96113
(list; graph; listen)
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OFFSET
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1,2
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MATHEMATICA
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g[n_] := Block[{k = 1}, While[ !IntegerQ[ Binomial[2k, k] / Product[i, {i, k, k + n}]], k++ ]; Return[k]]; Table[ a[n], {n, 1, 13}]
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PROGRAM
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(PARI) for(n=1, 8, s=1; while(binomial(2*s, s)%prod(i=0, n, (s+i))>0, s++); print1(s, ", "))
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CROSSREFS
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Sequence in context: A154267 A051867 A008976 this_sequence A069127 A137183 A124708
Adjacent sequences: A072116 A072117 A072118 this_sequence A072120 A072121 A072122
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 19 2002
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EXTENSIONS
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More terms from Naohiro Nomoto (n_nomoto(AT)yabumi.com) and Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 21 2002
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