A377753 Decimal expansion of 8*G/Pi^2, where G is the Catalan's constant (A006752).

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

Offset

0,1

References

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.7, p. 54.

Links

Table of n, a(n) for n=0..99.

Formula

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

Equals 1/A242822. - Hugo Pfoertner, Nov 07 2024

Maple

0.7424537454215443259079279607988799424377218365...

Mathematica

RealDigits[8Catalan/Pi^2, 10, 100][[1]]

Crossrefs

Cf. A002388, A006752, A218387, A242822.

Sequence in context: A373018 A165244 A198356 * A254349 A019608 A245055

Adjacent sequences: A377750 A377751 A377752 * A377754 A377755 A377758

Keyword

nonn,cons,new

Author

Stefano Spezia, Nov 07 2024

Status

approved