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Search: id:A119978
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| A119978 |
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Denominator of the n-th Artin product. |
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+0
1
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| 2, 12, 48, 2016, 221760, 6918912, 1881944064, 3079544832, 1558249684992, 1265298744213504, 7591792465281024, 919297051250393088, 36771882050015723520, 13282003796465679335424
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OFFSET
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1,1
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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) = Denominator[ Product[ 1 - 1/(Prime[k]*(Prime[k]-1)), {k,1,n}]].
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MATHEMATICA
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Table[Denominator[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: A139239 A060238 A085495 this_sequence A139234 A039784 A028243
Adjacent sequences: A119975 A119976 A119977 this_sequence A119979 A119980 A119981
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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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