A013673 Decimal expansion of zeta(15).

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

Offset: 1

Author

N. J. A. Sloane

Keywords

• cons
• nonn

Examples

			1.0000305882363070204935517285106450625876279487068581775065699328933322...
		

References

• M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 811.

Links

• M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

Programs

Mathematica

RealDigits[Zeta[15],10,120][[1]] (* Harvey P. Dale, Sep 22 2011 *)

Formula

zeta(15) = Sum_{n >= 1} (A010052(n)/n^(15/2)) = Sum_{n >= 1} ( (floor(sqrt(n)) - floor(sqrt(n-1)))/n^(15/2) ). - Mikael Aaltonen, Feb 23 2015

zeta(15) = Product_{k>=1} 1/(1 - 1/prime(k)^15). - Vaclav Kotesovec, May 02 2020