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

1,6

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

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

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].

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

Example

1.0000305882363070204935517285106450625876279487068581775065699328933322...

Mathematica

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

Crossrefs

Sequence in context: A225233 A021331 A352484 * A188639 A103229 A181835

Adjacent sequences: A013670 A013671 A013672 * A013674 A013675 A013676

Keyword

cons,nonn

Author

N. J. A. Sloane.

Status

approved