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%I #16 Aug 14 2023 14:25:20
%S 0,8,4,0,3,4,4,0,5,8,2,2,7,8,0,9,8,4,9,4,5,3,9,6,4,8,5,0,6,7,6,1,5,8,
%T 8,9,2,2,5,8,5,0,6,2,5,7,1,8,3,2,7,8,6,5,7,3,3,5,0,1,8,8,0,3,7,8,2,3,
%U 6,9,8,0,2,2,3,7,4,5,2,3,0,5,2,0,6,4,3,4,8
%N Decimal expansion of 1-Catalan.
%H J. W. L. Glaisher, <a href="https://babel.hathitrust.org/cgi/pt?id=uc1.%24b416778&seq=60">Numerical Values of the Series 1 - 1/3^n + 1/5^n - 1/7^n + 1/9^n - &c. For n = 2, 4, 6</a>, Messenger of Mathematics, Vol. 42 (1913), pp. 50-58. [Available only in the USA through the Hathi Trust]
%F Equals 3F2( -1/2,-1/2,1 ; 1/2,1/2 ; -1) = (1/4) * Sum_{k>=0} (-1)^k/(k-1/2)^2.
%F Equals 1-A006752.
%F Equals Sum_{k>=1} k*zeta(2*k+1)/16^k (Glaisher, 1913). - _Amiram Eldar_, Aug 14 2023
%e 0.084034405822780984945396...
%p evalf(1-Catalan) ;
%t RealDigits[1 - Catalan, 10, 120, -1][[1]] (* _Amiram Eldar_, Aug 14 2023 *)
%o (PARI) 1 - Catalan \\ _Michel Marcus_, Aug 14 2023
%Y Cf. A006752.
%K nonn,cons
%O 0,2
%A _R. J. Mathar_, Aug 14 2023
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