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Decimal expansion of zeta(2)*zeta(3), the product of two Riemann zeta values.
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%I #18 Jun 12 2023 02:54:17

%S 1,9,7,7,3,0,4,3,5,0,2,9,7,2,9,6,1,1,8,1,9,7,0,8,5,4,4,1,4,8,5,1,2,5,

%T 5,7,2,0,8,2,1,5,1,4,6,6,6,6,0,1,3,4,2,0,8,6,9,5,8,2,2,2,7,7,0,5,4,7,

%U 1,5,0,3,4,1,4,6,6,0,4,2,0,7,7,0,2,3,8,4,3,7,2,5,2,1,7,4,9,6,0,7,3,7,2,0,9,4,2,8,5,8,1,3,3,5,4,1,2,9,7,8,2,2,3,7,5,9,0,2,6,3,3,1,1,4,1,4,6,6,4,0,2,0,1,0,5,9,3,6,3,6,8,3,2

%N Decimal expansion of zeta(2)*zeta(3), the product of two Riemann zeta values.

%C Equals the Dirichlet zeta-function Sum_{n>=1} A000203(n)/n^s at s=3.

%F Equals A013661 * A002117.

%e Equals 1.977304350297296118197085441485...

%p evalf(Zeta(2)*Zeta(3));

%t RealDigits[Zeta[2] * Zeta[3], 10, 120][[1]] (* _Amiram Eldar_, Jun 12 2023 *)

%o (PARI) zeta(2)*zeta(3) \\ _Charles R Greathouse IV_, Mar 04 2015

%Y Cf. A000203, A013661, A002117, A347213.

%Y Cf. A183700 (s=4).

%K nonn,cons

%O 1,2

%A _R. J. Mathar_, Jan 06 2011