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%I #9 Jun 04 2021 04:40:33
%S 3,4,2,6,9,8,9,4,4,4,2,1,9,9,3,6,3,3,5,3,9,8,6,7,1,8,8,8,8,2,6,6,7,1,
%T 2,7,3,3,1,0,6,3,7,8,7,9,1,7,0,2,5,9,0,1,1,8,9,1,7,7,4,0,3,3,1,6,2,0,
%U 9,4,4,8,1,5,8,4,3,3,7,3,7,2,1,2,3,7,4
%N Decimal expansion of Sum_{k>=0} 1/(x_k^2 - x_k), where x_k is the k-th zero of the digamma function.
%C The zeros of the digamma function, i.e., the roots of psi(x) = 0 are x_0 = 1.461632... (A030169), the only positive root, x_1 = -0.504083... (A175472), etc.
%H István Mező and Michael E. Hoffman, <a href="https://doi.org/10.1080/10652469.2017.1376193">Zeros of the digamma function and its Barnes G-function analogue</a>, Integral Transforms and Special Functions, Vol. 28, No. 11 (2017), pp. 846-858.
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Digamma_function">Digamma function</a>.
%F Equals Pi^2/(6*gamma) + gamma, where gamma is Euler's constant (A001620).
%e 3.42698944421993633539867188882667127331063787917025...
%t RealDigits[Pi^2/(6*EulerGamma) + EulerGamma, 10, 100][[1]]
%Y Cf. A344964, A344965, A344966, A344967.
%Y Cf. A001620, A013661.
%Y Cf. A030169, A175472, A175473, A175474, A256681, A256682, A256683, A256684, A256685, A256686, A256687.
%K nonn,cons
%O 1,1
%A _Amiram Eldar_, Jun 03 2021
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