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%I #28 Mar 28 2024 10:54:00
%S 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,
%T 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,
%U 0,4,6,2,1,4,0,2,2,6,6,3,4,9,1,7,6,8,2
%N Decimal expansion of Pi^4/120.
%C 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.
%H R. E. Crandall and J. P. Buhler, <a href="https://projecteuclid.org/euclid.em/1048515810">On the evaluation of Euler sums</a>, Exper. Math. 3 (1994), 275.
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Multiple_zeta_function">Multiple zeta function</a>
%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F Equals Sum_{n >=2} Sum_{m=1..n-1} 1/(n*m)^2.
%e 0.8117424... = A164109/40 .
%p evalf(Pi^4/120) ;
%t First[RealDigits[Pi^4/120,10,100]] (* _Geoffrey Critzer_, Nov 03 2013 *)
%o (PARI) Pi^4/120 \\ _Charles R Greathouse IV_, Apr 17 2015
%o (PARI) zetamult([2,2]) \\ _Charles R Greathouse IV_, Apr 17 2015
%Y Cf. A092425, A164109.
%K cons,nonn,easy
%O 0,1
%A _R. J. Mathar_, Oct 10 2011
%E More terms from _D. S. McNeil_, Oct 10 2011
%E Definition simplified by _R. J. Mathar_, Feb 05 2013
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