A013669 - OEIS

A013669

Decimal expansion of zeta(11).

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

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OFFSET

1,5

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].

Jonathan Borwein and David Bradley, Empirically determined Apéry-like formulae for zeta(4n+3), Experimental Mathematics, Vol. 6, No. 3 (1997), pp. 181-194; arXiv preprint, arXiv:math/0505124 [math.CA], 2005.

FORMULA

zeta(11) = Sum_{n >= 1} (A010052(n)/n^(11/2)) = Sum_{n >= 1} ( (floor(sqrt(n))-floor(sqrt(n-1)))/n^(11/2) ). - Mikael Aaltonen, Feb 22 2015

zeta(11) = Product_{k>=1} 1/(1 - 1/prime(k)^11). - Vaclav Kotesovec, May 02 2020

EXAMPLE

1.0004941886041194645587022825264699364686064357582...

MAPLE

evalf(Zeta(11), 150) ; # R. J. Mathar, Oct 16 2015

MATHEMATICA

RealDigits[Zeta[11], 10, 120][[1]] (* Amiram Eldar, Jun 11 2023 *)

PROG

(PARI) zeta(11) \\ Charles R Greathouse IV, Apr 25 2016

CROSSREFS