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 A344688 Decimal expansion of 3236 * Pi^9 / (55801305 * sqrt(3)). 3
 9, 9, 8, 0, 5, 0, 1, 9, 5, 6, 5, 7, 0, 7, 7, 2, 3, 7, 2, 2, 7, 8, 6, 3, 8, 2, 2, 7, 3, 0, 3, 1, 3, 7, 2, 5, 7, 3, 9, 1, 5, 2, 1, 4, 4, 4, 5, 6, 9, 1, 8, 6, 7, 6, 9, 9, 6, 9, 5, 0, 0, 1, 3, 5, 1, 2, 0, 8, 0, 8, 5, 2, 4, 7, 2, 2, 3, 4, 2, 6, 8, 6, 6, 5, 9, 6, 3 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 REFERENCES L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (310). LINKS Table of n, a(n) for n=0..86. Michael I. Shamos, Shamos's catalog of the real numbers (2011). Index entries for transcendental numbers. FORMULA Equals 2^2 * 809 * Pi^9 / (3^13 * 5 * 7 * sqrt(3)). Equals 1 + Sum_{k>=1} ( 1/(3*k+1)^9 - 1/(3*k-1)^9 ). Equals Product_{p prime} (1 - Kronecker(-3, p)/p^9)^(-1) = Product_{p prime != 3} (1 + (-1)^(p mod 3)/p^9)^(-1). - Amiram Eldar, Nov 06 2023 EXAMPLE 0.998050195657077237227863822730... MATHEMATICA RealDigits[3236 * Pi^9 / (55801305 * Sqrt[3]), 10, 120][[1]] (* Amiram Eldar, Jun 12 2023 *) CROSSREFS Cf. A129404, A344778, A344727. Sequence in context: A244347 A341901 A144669 * A346451 A347059 A202692 Adjacent sequences: A344685 A344686 A344687 * A344689 A344690 A344691 KEYWORD nonn,cons AUTHOR Sean A. Irvine, Aug 17 2021 STATUS approved

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Last modified June 21 05:25 EDT 2024. Contains 373540 sequences. (Running on oeis4.)