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A258986
Decimal expansion of the multiple zeta value (Euler sum) zetamult(2,3).
8
7, 1, 1, 5, 6, 6, 1, 9, 7, 5, 5, 0, 5, 7, 2, 4, 3, 2, 0, 9, 6, 9, 7, 3, 8, 0, 6, 0, 8, 6, 4, 0, 2, 6, 1, 2, 0, 9, 2, 5, 6, 1, 2, 0, 4, 4, 3, 8, 3, 3, 9, 2, 3, 6, 4, 9, 2, 2, 2, 2, 4, 9, 6, 4, 5, 7, 6, 8, 6, 0, 8, 5, 7, 4, 5, 0, 5, 8, 2, 6, 5, 1, 1, 5, 4, 2, 5, 2, 3, 4, 4, 6, 3, 6, 0, 0, 7, 9, 8, 9, 6, 4, 1
OFFSET
0,1
LINKS
Dominique Manchon, Arborified multiple zeta values, arXiv:1603.01498 [math.CO], 2016.
Eric Weisstein's MathWorld, Multivariate Zeta Function
FORMULA
zetamult(2,3) = Sum_{m>=2} (Sum_{n=1..m-1} 1/(m^2*n^3)) = (9/2)*zeta(5) - 2*zeta(2)*zeta(3).
EXAMPLE
0.711566197550572432096973806086402612092561204438339236492222496457686...
MATHEMATICA
RealDigits[(9/2)*Zeta[5] - 2*Zeta[2]*Zeta[3], 10, 103] // First
PROG
(PARI) zetamult([2, 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), 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: A051422 A201670 A019980 * A086384 A102421 A019620
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved