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A197070 Decimal expansion of the Dirichlet eta-function at 3. 11
9, 0, 1, 5, 4, 2, 6, 7, 7, 3, 6, 9, 6, 9, 5, 7, 1, 4, 0, 4, 9, 8, 0, 3, 6, 2, 1, 1, 3, 3, 5, 8, 7, 4, 9, 3, 0, 7, 3, 7, 3, 9, 7, 1, 9, 2, 5, 5, 3, 7, 4, 1, 6, 1, 3, 4, 4, 2, 0, 3, 6, 6, 6, 5, 0, 6, 3, 7, 8, 6, 5, 4, 3, 3, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Wikipedia, Dirichlet eta function

FORMULA

Equals 3*zeta(3)/4 = 3*A002117/4.

Also equals the integral over the unit cube [0,1]x[0,1]x[0,1] of 1/(1+x*y*z) dx dy dz. - Jean-Fran├žois Alcover, Nov 24 2014

Equals Sum_{n>=1} (-1)^(n+1)/n^3. - Terry D. Grant, Aug 03 2016

EXAMPLE

0.9015426773696957140498036211335874930737...

MAPLE

3*Zeta(3)/4 ; evalf(%) ;

MATHEMATICA

RealDigits[3(Zeta[3])/4, 10, 75][[1]] (* Bruno Berselli, Dec 20 2011 *)

PROG

(PARI) -polylog(3, -1) \\ Charles R Greathouse IV, Mar 28 2012

(PARI) 3/4*zeta(3) \\ Charles R Greathouse IV, Mar 28 2012

CROSSREFS

Cf. A002117: zeta(3); A233090: 5*zeta(3)/8; A233091: 7*zeta(3)/8, A072691.

Sequence in context: A021530 A272232 A110909 * A197333 A226120 A244593

Adjacent sequences:  A197067 A197068 A197069 * A197071 A197072 A197073

KEYWORD

cons,easy,nonn

AUTHOR

R. J. Mathar, Oct 09 2011

STATUS

approved

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Last modified June 25 18:15 EDT 2017. Contains 288729 sequences.