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A013669 Decimal expansion of zeta(11). 35
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 (list; constant; graph; refs; listen; history; text; internal format)
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
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
Sequence in context: A070516 A143298 A177839 * A085365 A019767 A244994
KEYWORD
cons,nonn
AUTHOR
EXTENSIONS
a(99) corrected by Sean A. Irvine, Sep 05 2018
STATUS
approved

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Last modified March 28 14:02 EDT 2024. Contains 371254 sequences. (Running on oeis4.)