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Search: id:A119964
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| A119964 |
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Numerator of the n-th Artin product. |
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+0
1
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| 1, 5, 19, 779, 84911, 2632241, 713337311, 1163866139, 587752400195, 476667196558145, 2856927907113011, 345688276760674331, 13819099649042566549, 4988694973304366524189, 10780569837310736058772429
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OFFSET
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1,2
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COMMENT
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Artin's constant (A005596) is equal to Product[1-1/(Prime[k]*(Prime[k]-1)),{k,1,Infinity}]. n-th Artin product is Product[1-1/(Prime[k]*(Prime[k]-1)),{k,1,n}].
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics. Artin's Constant.
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FORMULA
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a(n) = Numerator[ Product[ 1 - 1/(Prime[k]*(Prime[k]-1)), {k,1,n}]].
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MATHEMATICA
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Table[Numerator[Product[1-1/(Prime[k]*(Prime[k]-1)), {k, 1, n}]], {n, 1, 20}]
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CROSSREFS
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Cf. A119534, A091568, A091567, A005596, A048296.
Sequence in context: A144743 A072526 A095218 this_sequence A122152 A104314 A093482
Adjacent sequences: A119961 A119962 A119963 this_sequence A119965 A119966 A119967
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KEYWORD
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frac,nonn
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AUTHOR
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Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 03 2006
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