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A370374 Decimal expansion of 2*log(2) - 4*Catalan/Pi. 0

%I #42 Jun 10 2024 08:50:42

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

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

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

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

%H Sheldon Yang, <a href="https://dx.doi.org/10.1080/0020739X.1192.10715688">Some properties of Catalan's constant G</a>, Internat. J. Math. Ed. Sci. Tech. 23 (4) (1992) 549-556, L*(0).

%F Equals Sum_{n>=1} ((2n-1)!!/(2n)!!)^2 / (2*n).

%F Equals A016627 - A218387.

%e 0.22005074499...

%p 2*log(2)-4*Catalan/Pi ; evalf(%) ;

%t RealDigits[2*Log[2] - 4*Catalan/Pi, 10, 120][[1]] (* _Amiram Eldar_, Jun 10 2024 *)

%o (PARI) 2*log(2) - 4*Catalan/Pi \\ _Amiram Eldar_, Jun 10 2024

%Y Cf. A016627, A218387.

%K nonn,cons

%O 0,1

%A _R. J. Mathar_, Jun 07 2024

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Last modified August 16 17:14 EDT 2024. Contains 375177 sequences. (Running on oeis4.)