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%I #26 May 04 2021 09:01:40
%S 2,1,8,4,0,0,9,4,7,0,2,6,7,8,5,1,9,5,2,8,9,4,7,3,4,1,5,7,8,5,2,9,4,9,
%T 0,7,0,4,4,3,9,0,8,4,0,6,2,6,3,2,2,9,4,2,0,2,0,0,2,5,1,2,0,7,9,2,8,3,
%U 5,4,9,0,3,1,1,2,7,4,0,2,9,5,3,9,0,6,9,7,4,1,8,4,6,1,3,4,1,6,1,9,7,2,3,0,7
%N Decimal expansion of Sum_{x>=2} 1/((x - 1) sqrt(x)) = Sum_{k>=1} (zeta(k+1/2) - 1).
%H David Brink, <a href="http://www.jstor.org/stable/10.4169/amer.math.monthly.119.09.779">The Spiral of Theodorus and Sums of Zeta-values at the Half-Integers</a>, The American Mathematical Monthly, Vol 119, No. 9 (November 2012), page 785.
%e 2.184009470267851952894734157852949070443908406263229420200251207928354...
%t RealDigits[ Sum[ Zeta[k + 1/2] - 1, {k, 1, 355}], 10, 111][[1]]
%o (PARI) sum(k=1,340,zeta(k+1/2)-1)
%Y Cf. A105459, A226317, A234015.
%K nonn,easy,cons
%O 1,1
%A _David Brink_ and _Robert G. Wilson v_, Dec 18 2013
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