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A091475 Decimal expansion of Catalan - Pi^2/16 + Pi*log(2)/4. 0

%I #18 May 24 2021 07:41:10

%S 8,4,3,5,1,1,8,4,1,6,8,5,0,3,4,6,3,4,0,0,2,6,2,0,0,5,1,9,9,9,5,2,8,1,

%T 5,1,6,5,1,6,8,9,0,8,6,4,2,1,4,4,4,2,9,3,6,9,7,1,1,2,5,9,6,9,0,6,5,8,

%U 7,3,5,5,6,6,9,2,3,9,9,3,8,3,9,9,3,2,7,9,1,5,5,9,6,3,7,1,3,4,8,0,2,3

%N Decimal expansion of Catalan - Pi^2/16 + Pi*log(2)/4.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/DefiniteIntegral.html">Definite Integral</a>.

%F Equals Integral_{t=0..Pi/4} t^2/sin(t)^2 dt.

%F Equals Integral_{t=0..1} arctan(t)^2/t^2 dt. - _Amiram Eldar_, May 24 2021

%e 0.84351...

%t RealDigits[Integrate[t^2/Sin[t]^2,{t,0,Pi/4}],10,120][[1]] (* _Harvey P. Dale_, Nov 19 2019 *)

%Y Cf. A000796, A002162, A006752.

%K nonn,cons

%O 0,1

%A _Eric W. Weisstein_, Jan 13 2004

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