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

Author

N. J. A. Sloane

Keywords

• nonn
• cons

Examples

			1.0000612481350587048292585451051353337474816961691545494827552022528629...
		

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

PARI

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

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