A013674 Decimal expansion of zeta(16).

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

Offset: 1

Author

N. J. A. Sloane

Keywords

• cons
• nonn

Examples

			1.000015282259408651871732571487636722...
		

References

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

Links

• Milton Abramowitz and Irene 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[16], 10, 96][[1]] (* Alonso del Arte, Mar 15 2015 *)

PARI

zeta(16) \\ Michel Marcus, Feb 20 2015

Formula

zeta(16) = Sum_{n >= 1} (A010052(n)/n^8) = sum {n >= 1} ( (floor(sqrt(n))-floor(sqrt(n-1)))/n^8 ). - Mikael Aaltonen, Feb 20 2015

zeta(16) = 3617 * Pi^16 / 325641566250. - Vaclav Kotesovec, May 15 2019

zeta(16) = Product_{k>=1} 1/(1 - 1/prime(k)^16). - Vaclav Kotesovec, May 02 2020