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 A346745 Decimal expansion of Product_{k>=2} (1 - 1/k^12). 0
 9, 9, 9, 7, 5, 3, 9, 1, 3, 9, 2, 1, 8, 9, 3, 2, 5, 6, 0, 0, 3, 4, 4, 8, 5, 7, 0, 6, 4, 1, 9, 0, 9, 7, 2, 7, 1, 8, 0, 3, 3, 9, 7, 1, 1, 4, 7, 2, 6, 0, 9, 9, 5, 3, 7, 2, 5, 5, 6, 3, 1, 3, 8, 7, 4, 0, 7, 6, 0, 1, 0, 3, 6, 5, 7, 8, 4, 2, 5, 7, 0, 7, 2, 8, 6, 9, 5 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Table of n, a(n) for n=0..86. Michael I. Shamos, Shamos's catalog of the real numbers (2011). FORMULA Equals sinh(Pi) * cosh(Pi*sqrt(3)/2)^2 * (cosh(Pi) - cos(Pi*sqrt(3))) / (24*Pi^5). Equals exp(Sum_{j>=1} (1 - zeta(12*j))/j). - Vaclav Kotesovec, Aug 01 2021 EXAMPLE 0.999753913921893256003448570641909727180... MAPLE evalf(sinh(Pi) * cosh(Pi*sqrt(3)/2)^2 * (cosh(Pi) - cos(Pi*sqrt(3))) / (24*Pi^5), 120); # Vaclav Kotesovec, Aug 01 2021 MATHEMATICA RealDigits[Sinh[Pi]*Cosh[Pi*Sqrt[3]/2]^2*(Cosh[Pi] - Cos[Pi*Sqrt[3]])/(24*Pi^5), 10, 120][[1]] (* Amiram Eldar, Jun 12 2023 *) PROG (PARI) exp(suminf(j=1, (1 - zeta(12*j))/j)) \\ Vaclav Kotesovec, Aug 01 2021 CROSSREFS Cf. A109219, A175615, A175616, A175617, A175618, A175619, A339745. Sequence in context: A111590 A346584 A346571 * A307054 A346437 A346260 Adjacent sequences: A346742 A346743 A346744 * A346746 A346747 A346748 KEYWORD nonn,cons AUTHOR Sean A. Irvine, Jul 31 2021 STATUS approved

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Last modified September 8 15:19 EDT 2024. Contains 375753 sequences. (Running on oeis4.)