RealDigits[N[Zeta[3] * Zeta[4], 75]][[1]] (* From ]] (* _Alonso del Arte, _, Jan 06 2011 *)

OEIS Server: https://oeis.org/edit/global/2067

_R. J. Mathar (mathar(AT)strw.leidenuniv.nl), _, Jan 06 2011

OEIS Server: https://oeis.org/edit/global/190

reviewed

approved

proposed

reviewed

RealDigits[N[Zeta[3] * Zeta[4], 75]][[1]] (* From Alonso del Arte, Jan 06 2011 *)

Alonso del Arte: I was going to cut lines 6 and beyond of the Data field but got a warning that the sequence is already in the OEIS as A183700.

D. S. McNeil: @Alonso: that's been happening to me too, intermittently.

Joerg Arndt: @RJM: A000796 (3.1415...) uses this unfortunate convention as well.
It would be better if the offset would correspond to the exponent of  10 for the first nonzero digit (which would be zero).  Well, be it.

allocated for R. J. Mathar

Decimal expansion of zeta(3)*zeta(4), the product of two Riemann zeta values.

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

1,2

Equals the Dirichlet zeta-function sum_{n>=1} A000203(n)/n^s at s=4.

Equals A002117 * A013662.

Equals 1.301014114532488574154...

evalf(Zeta(3)*Zeta(4)) ;

Cf. A183699 (s=3).

allocated

nonn,cons,easy

R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 06 2011

approved

proposed

Joerg Arndt: Rather offset zero?

R. J. Mathar: The offset=1 is correct, there is 1 digit left from the decimal dot.

allocated for R. J. Mathar

allocated

approved