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A119978
Denominator of the n-th Artin product.
0
2, 12, 48, 2016, 221760, 6918912, 1881944064, 3079544832, 1558249684992, 1265298744213504, 7591792465281024, 919297051250393088, 36771882050015723520, 13282003796465679335424
OFFSET
1,1
COMMENTS
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}].
LINKS
Eric Weisstein's World of Mathematics, Artin's Constant.
FORMULA
a(n) = Denominator[ Product[ 1 - 1/(Prime[k]*(Prime[k]-1)), {k,1,n}]].
MATHEMATICA
Table[Denominator[Product[1-1/(Prime[k]*(Prime[k]-1)), {k, 1, n}]], {n, 1, 20}]
CROSSREFS
KEYWORD
frac,nonn
AUTHOR
Alexander Adamchuk, Aug 03 2006
STATUS
approved