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A068468
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Decimal expansion of zeta(6)/(zeta(2)*zeta(3)).
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10
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5, 1, 4, 5, 1, 0, 1, 0, 1, 5, 0, 8, 3, 9, 3, 1, 2, 3, 0, 7, 3, 2, 8, 1, 1, 8, 6, 7, 7, 2, 7, 8, 9, 6, 1, 6, 5, 0, 6, 5, 6, 5, 7, 4, 6, 9, 0, 7, 1, 2, 8, 0, 1, 8, 3, 3, 7, 5, 4, 3, 4, 5, 7, 2, 2, 2, 4, 5, 5, 1, 4, 9, 4, 9, 3, 8, 2, 4, 9, 4, 6, 7, 7, 3, 2, 3, 8, 4, 2, 4, 7, 8, 6, 8, 7, 5, 9, 7, 4, 8, 0, 8, 4, 6
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OFFSET
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0,1
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LINKS
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FORMULA
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Equals 2*Pi^4/(315*zeta(3)).
Equals Product_{p prime} (1 - 1/(p^2-p+1)). (End)
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EXAMPLE
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0.514510101508393123073281186772789616506565746907128.....
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MATHEMATICA
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RealDigits[Zeta[6]/(Zeta[2]*Zeta[3]), 10, 100][[1]] (* G. C. Greubel, Mar 11 2018 *)
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PROG
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(PARI) default(realprecision, 100); zeta(6)/(zeta(2)*zeta(3)) \\ G. C. Greubel, Mar 11 2018
(Magma) R:=RealField(150); SetDefaultRealField(R); L:=RiemannZeta(); 2*Pi(R)^4/(315*Evaluate(L, 3)); // G. C. Greubel, Mar 11 2018
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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