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A343470 Decimal expansion of Sum_{n>=1} ((-1)^(n-1))*arctan(n)/n.

%I A343470 #15 Apr 21 2021 12:00:16
%S A343470 4,6,5,7,1,2,3,0,3,5,2,6,3,0,3,6,3,5,5,2,6,8,2,7,7,0,1,2,4,0,2,3,0,1,
%T A343470 3,6,8,7,2,3,7,2,1,6,0,6,1,5,1,6,2,4,8,4,0,9,1,1,9,4,2,6,0,8,6,2,5,3,
%U A343470 9,2,1,8,7,2,8,1,9,1,0,7,5,7,4,9,3,7,9,6,2,0,7,6
%N A343470 Decimal expansion of Sum_{n>=1} ((-1)^(n-1))*arctan(n)/n.
%C A343470 The alternating series test shows the series is convergent.
%H A343470 Wikipedia, <a href="https://en.wikipedia.org/wiki/Alternating_series_test">Alternating series test</a>.
%F A343470 Equals Sum_{n>=1} ((-1)^(n-1))*arctan(n)/n.
%e A343470 0.46571230352630363552682770124023013687237216061516248...
%p A343470 evalf(sum(((-1)^(n-1))*arctan(n)/n, n=1..infinity),120);
%o A343470 (PARI) sumalt(n=1, (-1)^(n-1)*atan(n)/n) \\ _Michel Marcus_, Apr 17 2021
%Y A343470 Cf. A343469, A265011.
%K A343470 nonn,cons
%O A343470 0,1
%A A343470 _Bernard Schott_, Apr 17 2021