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%I #6 Feb 19 2014 11:24:48
%S 1,2,2,1,8,7,9,9,4,5,3,1,9,8,8,0,1,3,8,5,1,8,8,0,6,4,7,5,2,9,0,9,9,4,
%T 8,1,2,5,6,9,0,4,1,5,4,4,0,2,1,6,7,2,4,6,4,1,8,3,5,3,3,3,5,9,8,8,7,0,
%U 0,8,1,9,3,6,3,2,7,0,4,9,6,6,6,7,7,1,5,8,6,3,0,4,6,4,5,4,4,6,8,6
%N Decimal expansion of sum_(n>=1) H(n)^2/n^4 where H(n) is the n-th harmonic number (Quadratic Euler Sum S(2,4)).
%C No closed form of S(2,2q) is known to date, except for S(2,2) (A218505) and S(2,4) (this sequence).
%H Philippe Flajolet, Bruno Salvy, <a href="http://algo.inria.fr/flajolet/Publications/FlSa98.pdf">Euler Sums and Contour Integral Representations</a>, Experimental Mathematics 7:1 (1998) page 24.
%F 97/24*zeta(6) - 2*zeta(3)^2.
%e 1.221879945319880138518806475290994812569...
%t 97/24*Zeta[6] - 2*Zeta[3]^2 // RealDigits[#, 10, 100]& // First
%Y Cf. A152648, A152649, A152651, A218505, A238168, A238181, A238183.
%K nonn,cons
%O 1,2
%A _Jean-François Alcover_, Feb 19 2014
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