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

1,7

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

Table of n, a(n) for n=1..99.

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].

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

Example

1.000015282259408651871732571487636722...

Mathematica

RealDigits[Zeta[16], 10, 96][[1]] (* Alonso del Arte, Mar 15 2015 *)

Prog

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

Crossrefs

Sequence in context: A305574 A248259 A128666 * A155975 A152956 A099873

Adjacent sequences: A013671 A013672 A013673 * A013675 A013676 A013677

Keyword

cons,nonn

Author

N. J. A. Sloane

Status

approved