A013672 Decimal expansion of zeta(14).

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

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(14) = Sum_{n >= 1} (A010052(n)/n^7) = Sum {n >= 1} ( (floor(sqrt(n))-floor(sqrt(n-1)))/n^7 ). - Mikael Aaltonen, Feb 20 2015

zeta(14) = 2/18243225*Pi^14 (see A002432). - Rick L. Shepherd, May 30 2016

zeta(14) = Product_{k>=1} 1/(1 - 1/prime(k)^14). - Vaclav Kotesovec, May 02 2020

Example

1.0000612481350587048292585451051353337474816961691545494827552022528629...

Mathematica

RealDigits[Zeta[14], 10, 120][[1]] (* Harvey P. Dale, Dec 19 2014 *)

Prog

(PARI) zeta(14) \\ Michel Marcus, Feb 20 2015

Crossrefs

Sequence in context: A106687 A083463 A187110 * A019946 A090551 A220782

Adjacent sequences: A013669 A013670 A013671 * A013673 A013674 A013675

Keyword

nonn,cons

Author

N. J. A. Sloane

Status

approved