A341747 Decimal expansion of zeta(3) * zeta(4) * Product_{p prime} (1 + 1/p^2 - 2/p^3 - 2/p^5 + 2/p^6).
1, 3, 8, 6, 9, 2, 4, 1, 7, 0, 4, 1, 3, 5, 6, 5, 8, 6, 8, 9, 8, 8, 1, 4, 9, 1, 9, 7, 6, 6, 5, 1, 0, 6, 8, 3, 6, 1, 6, 5, 2, 6, 2, 0, 7, 8, 2, 6, 3, 9, 2, 9, 9, 1, 7, 4, 1, 1, 3, 7, 0, 1, 5, 8, 1, 3, 7, 2, 6, 0, 2, 1, 5, 6, 6, 1, 7, 6, 7, 9, 2, 2, 6, 3, 4, 1, 2
Offset: 1
Examples
1.38692417041356586898814919766510683616526207826392...
Links
- Titus Hilberdink and László Tóth, On the average value of the least common multiple of k positive integers, Journal of Number Theory, Vol. 169 (2016), pp. 327-341. See p. 333.
Programs
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Mathematica
$MaxExtraPrecision = 1500; m = 1500; c = LinearRecurrence[{0, -1, 2, 0, 2, -2}, {0, 2, -6, -2, 0, 2}, m]; Zeta[3] * Zeta[4] * Exp[NSum[Indexed[c, n]*PrimeZetaP[n]/n, {n, 2, m}, NSumTerms -> m, WorkingPrecision -> m]] -
PARI
zeta(3) * zeta(4) * prodeulerrat(1 + 1/p^2 - 2/p^3 - 2/p^5 + 2/p^6)
Comments