%I #10 Jan 21 2016 14:44:26

%S 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,

%T 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,

%U 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

%N Decimal expansion of the multiple zeta value (Euler sum) zetamult(3,3).

%H Eric Weisstein's MathWorld, <a href="http://mathworld.wolfram.com/MultivariateZetaFunction.html">Multivariate Zeta Function</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Multiple_zeta_function">Multiple zeta function</a>

%F 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).

%e 0.213798868224592547099583574508033649640958957865517556144512748947...

%t RealDigits[(9/2)*Zeta[5] - 2*Zeta[2]*Zeta[3], 10, 103] // First

%o (PARI) zetamult([3,3]) \\ _Charles R Greathouse IV_, Jan 21 2016

%Y 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).

%K nonn,cons,easy

%O 0,1

%A _Jean-François Alcover_, Jun 16 2015