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 A197110 Decimal expansion of Pi^4/120. 11
 8, 1, 1, 7, 4, 2, 4, 2, 5, 2, 8, 3, 3, 5, 3, 6, 4, 3, 6, 3, 7, 0, 0, 2, 7, 7, 2, 4, 0, 5, 8, 7, 5, 9, 2, 7, 0, 8, 1, 0, 6, 3, 2, 1, 3, 9, 3, 9, 0, 4, 5, 1, 8, 0, 7, 6, 2, 2, 3, 2, 1, 6, 1, 5, 8, 3, 0, 9, 0, 4, 6, 2, 1, 4, 0, 2, 2, 6, 6, 3, 4, 9, 1, 7, 6, 8, 2 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Decimal expansion of the double Zeta-function zeta(2,2). Not to be confused with the Hurwitz Zeta function of two arguments or with the second derivative of the Riemann Zeta function. LINKS R. E. Crandall, J. P. Buhler, On the evaluation of Euler sums, Exper. Math. 3 (1994), 275. Wikipedia, Multiple zeta function FORMULA Equals Sum_{n >=2} Sum_{m=1..n-1} 1/(n*m)^2. EXAMPLE 0.8117424... = A164109/40 . MAPLE evalf(Pi^4/120) ; MATHEMATICA First[RealDigits[Pi^4/120, 10, 100]] (* Geoffrey Critzer, Nov 03 2013 *) PROG (PARI) Pi^4/120 \\ Charles R Greathouse IV, Apr 17 2015 (PARI) zetamult([2, 2]) \\ Charles R Greathouse IV, Apr 17 2015 CROSSREFS Cf. A092425, A164109. Sequence in context: A172428 A248581 A178163 * A109571 A133823 A168643 Adjacent sequences:  A197107 A197108 A197109 * A197111 A197112 A197113 KEYWORD cons,nonn,easy AUTHOR R. J. Mathar, Oct 10 2011 EXTENSIONS More terms from D. S. McNeil, Oct 10 2011 Definition simplified by R. J. Mathar, Feb 05 2013 STATUS approved

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Last modified June 22 17:18 EDT 2021. Contains 345388 sequences. (Running on oeis4.)