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A258987 Decimal expansion of the multiple zeta value (Euler sum) zetamult(3,3). 9
2, 1, 3, 7, 9, 8, 8, 6, 8, 2, 2, 4, 5, 9, 2, 5, 4, 7, 0, 9, 9, 5, 8, 3, 5, 7, 4, 5, 0, 8, 0, 3, 3, 6, 4, 9, 6, 4, 0, 9, 5, 8, 9, 5, 7, 8, 6, 5, 5, 1, 7, 5, 5, 6, 1, 4, 4, 5, 1, 2, 7, 4, 8, 9, 4, 7, 1, 2, 5, 8, 3, 6, 6, 1, 4, 6, 9, 8, 1, 0, 2, 0, 4, 1, 7, 0, 9, 5, 6, 0, 2, 8, 9, 9, 9, 1, 1, 5, 5, 0, 6, 4, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Eric Weisstein's MathWorld, Multivariate Zeta Function
FORMULA
zetamult(3,3) = Sum_{m>=2} (Sum_{n=1..m-1} 1/(m^2*n^3)) = (9/2)*zeta(5) - 2*zeta(2)*zeta(3).
EXAMPLE
0.213798868224592547099583574508033649640958957865517556144512748947...
MATHEMATICA
RealDigits[(9/2)*Zeta[5] - 2*Zeta[2]*Zeta[3], 10, 103] // First
PROG
(PARI) zetamult([3, 3]) \\ Charles R Greathouse IV, Jan 21 2016
CROSSREFS
Cf. A072691 (zetamult(1,1)), A197110 (zetamult(2,2)), A258983 (zetamult(3,2)), A258984 (4,2), A258985 (5,2), A258947 (6,2), A258986 (2,3), A258988 (4,3), A258982 (5,3), A258989 (2,4), A258990 (3,4), A258991 (4,4).
Sequence in context: A112027 A174400 A178079 * A174254 A024404 A077173
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved

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Last modified July 21 13:28 EDT 2024. Contains 374474 sequences. (Running on oeis4.)