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 A258983 Decimal expansion of the multiple zeta value (Euler sum) zetamult(3,2). 8
 2, 2, 8, 8, 1, 0, 3, 9, 7, 6, 0, 3, 3, 5, 3, 7, 5, 9, 7, 6, 8, 7, 4, 6, 1, 4, 8, 9, 4, 1, 6, 8, 8, 7, 9, 1, 9, 3, 2, 5, 0, 9, 3, 4, 2, 7, 1, 9, 8, 8, 2, 1, 6, 0, 2, 2, 9, 4, 0, 7, 1, 0, 2, 6, 9, 3, 2, 2, 5, 3, 5, 8, 6, 1, 5, 2, 6, 4, 4, 5, 8, 0, 2, 6, 9, 1, 6, 0, 3, 1, 5, 0, 1, 0, 1, 5, 4, 7, 2, 0, 2, 8, 3, 7 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Also zetamult(2, 2, 1). - Charles R Greathouse IV, Jan 04 2017 LINKS Dominique Manchon, Arborified multiple zeta values, arXiv:1603.01498 [math.CO], 2016. Eric Weisstein's MathWorld, Multivariate Zeta Function Wikipedia, Multiple zeta function FORMULA zetamult(3,2) = Sum_{m>=2} (Sum_{n=1..m-1} 1/(m^3*n^2)) = 3*zeta(2)*zeta(3) - (11/2)*zeta(5). EXAMPLE 0.2288103976033537597687461489416887919325093427198821602294071... MATHEMATICA RealDigits[3*Zeta[2]*Zeta[3] - (11/2)*Zeta[5], 10, 104] // First PROG (PARI) zetamult([3, 2]) \\ Charles R Greathouse IV, Jan 21 2016 (PARI) zetamult([2, 2, 1]) \\ Charles R Greathouse IV, Jan 04 2017 CROSSREFS Cf. A072691 (zetamult(1,1)), A197110 (zetamult(2,2)), A258984 (4,2), A258985 (5,2), A258947 (6,2), A258986 (2,3), A258987 (3,3), A258988 (4,3), A258982 (5,3), A258989 (2,4), A258990 (3,4), A258991 (4,4). Cf. A013663 (zeta(5)), A183699 (zeta(2)*zeta(3)). Sequence in context: A195299 A095297 A269545 * A195138 A094887 A021441 Adjacent sequences:  A258980 A258981 A258982 * A258984 A258985 A258986 KEYWORD nonn,cons,easy AUTHOR Jean-François Alcover, Jun 16 2015 STATUS approved

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Last modified May 22 20:08 EDT 2022. Contains 353957 sequences. (Running on oeis4.)