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%I #26 Sep 27 2023 06:33:17
%S 1,0,9,4,2,6,9,2,2,7,1,7,9,9,2,0,6,2,7,2,2,1,6,2,5,6,8,9,7,0,8,1,2,9,
%T 9,5,9,9,6,4,2,2,7,6,7,9,7,6,4,1,8,2,7,1,1,7,7,9,4,9,6,5,0,1,8,2,5,9,
%U 0,1,8,4,0,0,2,4,4,8,8,0,0,6,5,8,6,6
%N Decimal expansion of (4/3)*Pi*Sum_{k>=1} 1/k^(3/2).
%C Total volume of an infinite stack of spheres having radii 1, 1/sqrt(2), 1/sqrt(3), ...
%C Both the height and the surface area of the stack are infinite, while the volume converges to this constant. See the linked YouTube video (where the constant is given with a lower precision).
%H Paolo Xausa, <a href="/A351829/b351829.txt">Table of n, a(n) for n = 2..10000</a>
%H Michael Penn, <a href="https://www.youtube.com/watch?v=dc7-d2BHX74">An infinite stack of spheres paradox</a>, YouTube video, 2022.
%F Equals (4/3)*Pi*zeta(3/2) = (4/3)*A000796*A078434.
%e 10.942692271799206272216256897081299599642276797641827117794965018259...
%t nterms=100;First[RealDigits[4/3*Pi*Zeta[3/2],10,nterms]]
%o (PARI) 4/3*Pi*zeta(3/2) \\ _Michel Marcus_, Feb 21 2022
%Y Cf. A000796, A078434.
%K nonn,cons
%O 2,3
%A _Paolo Xausa_, Feb 21 2022
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