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

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

Offset

0,1

Links

Table of n, a(n) for n=0..87.

Sheldon Yang, Some properties of Catalan's constant G, Internat. J. Math. Ed. Sci. Tech. 23 (4) (1992) 549-556, L*(0).

Formula

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

Equals A016627 - A218387.

Example

0.22005074499...

Maple

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

Mathematica

RealDigits[2*Log[2] - 4*Catalan/Pi, 10, 120][[1]] (* Amiram Eldar, Jun 10 2024 *)

Prog

(PARI) 2*log(2) - 4*Catalan/Pi \\ Amiram Eldar, Jun 10 2024

Crossrefs

Cf. A016627, A218387.

Sequence in context: A344901 A330619 A245693 * A297866 A298133 A298070

Adjacent sequences: A370371 A370372 A370373 * A370375 A370376 A370377

Keyword

nonn,cons

Author

R. J. Mathar, Jun 07 2024

Status

approved