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 A197070 Decimal expansion of the Dirichlet eta-function at 3. 14
 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-François Alcover, Nov 24 2014 Equals Sum_{n>=1} (-1)^(n+1)/n^3. - Terry D. Grant, Aug 03 2016 Equals Lim_{n -> infinity} A136675(n)/A334582(n). - Petros Hadjicostas, May 07 2020 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)), A072691, A136675, A233090 (5*zeta(3)/8), A233091 (7*zeta(3)/8), A072691, A334582. 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 April 18 02:38 EDT 2021. Contains 343072 sequences. (Running on oeis4.)