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A340153
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Decimal expansion of Product_{p prime} (1 - 2/p^3).
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3
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6, 7, 6, 8, 9, 2, 7, 3, 7, 0, 0, 9, 8, 8, 1, 9, 9, 3, 6, 1, 0, 2, 3, 7, 3, 2, 6, 7, 2, 4, 3, 8, 9, 2, 1, 2, 7, 9, 7, 6, 7, 8, 3, 9, 7, 4, 5, 9, 7, 8, 8, 8, 4, 5, 2, 7, 3, 2, 9, 7, 8, 2, 3, 0, 4, 4, 3, 2, 6, 3, 2, 0, 4, 6, 0, 3, 5, 7, 8, 6, 0, 5, 1, 2, 8, 3, 2, 6, 8, 4, 8, 1, 1, 1, 1, 0, 8, 4, 4, 9, 3, 1, 7, 0, 8, 4
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OFFSET
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0,1
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COMMENTS
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The asymptotic density of the sequence of cubefree numbers k such that k+1 is also cubefree (A340152) (Carlitz, 1932).
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LINKS
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EXAMPLE
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0.67689273700988199361023732672438921279767839745978...
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MATHEMATICA
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$MaxExtraPrecision = 500; m = 500; c = LinearRecurrence[{0, 0, 2}, {0, 0, -6}, m]; RealDigits[Exp[NSum[Indexed[c, n]*(PrimeZetaP[n])/n, {n, 2, m}, NSumTerms -> m, WorkingPrecision -> m]], 10, 100][[1]]
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PROG
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(PARI) prodeulerrat(1 - 2/p^3)
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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