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%I #7 Apr 28 2024 11:40:50
%S 2,7,6,1,3,2,1,6,6,5,4,4,2,3,9,3,2,3,6,1,5,9,3,2,3,3,7,2,8,2,3,3,8,9,
%T 3,7,0,6,4,4,0,9,8,0,7,7,4,3,7,6,3,8,9,5,9,1,2,8,0,3,5,1,9,7,6,5,8,8,
%U 6,9,1,5,0,6,9,5,3,6,6,8,0,0,8,6,7,1
%N Decimal expansion of Sum_{k>=0} (-1)^k / (k^2 + 2).
%F Equals (1/4)*(1 + sqrt(2)*Pi*csch(Pi*sqrt(2))).
%e 0.2761321665442393236159323372823389370644098...
%t s = N[Sum[(-1)^k/(k^2 + 2), {k, 0, Infinity}], 120]
%t First[RealDigits[s]]
%Y Cf. A329083.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Apr 24 2024
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