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%I #15 Sep 08 2022 08:46:08
%S 9,7,5,4,2,6,2,5,1,3,8,7,2,5,7,0,5,6,5,6,8,2,3,2,6,5,8,9,9,1,2,8,8,1,
%T 8,3,2,5,1,0,2,5,8,3,6,2,9,2,4,4,8,0,2,9,8,5,0,2,2,6,7,3,6,1,3,3,3,2,
%U 4,1,9,5,7,5,4,3,7,1,5,3,4,1,9,0,2,7,0,7,6,7,1,7,0,0,2,4,9,6,3,0,2
%N Decimal expansion of sum_(n>=1) (H(n)^3/(n+1)^2) where H(n) is the n-th harmonic number.
%H Vincenzo Librandi, <a href="/A244667/b244667.txt">Table of n, a(n) for n = 1..1000</a>
%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 27.
%F Equals Pi^2/6*zeta(3) + 15/2*zeta(5).
%e 9.75426251387257056568232658991288183251025836292448029850226736133324...
%t RealDigits[15/2*Zeta[5] + Zeta[2]*Zeta[3], 10, 101] // First
%o (PARI) default(realprecision, 100); Pi^2/6*zeta(3) + 15/2*zeta(5) \\ _G. C. Greubel_, Aug 31 2018
%o (Magma) SetDefaultRealField(RealField(100)); R:= RealField(); L:=RiemannZeta(); Pi(R)^2/6*Evaluate(L,3) + 15/2*Evaluate(L,5); // _G. C. Greubel_, Aug 31 2018
%Y Cf. A001008, A002805, A002117, A013663.
%K nonn,cons,easy
%O 1,1
%A _Jean-François Alcover_, Jul 04 2014
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