A378003 Decimal expansion of Pi*G - 7*zeta(3)/4, where G = A006752.

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

Offset

0,1

References

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.7.2, p. 55.

Links

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

Formula

Equals Sum_{n>=1} (-1)^(n+1)/n^2 Sum_{k=0..n-1} 1/(2*k + 1) (see Finch).

Example

0.773991201078871152328038383876510316276128388...

Mathematica

RealDigits[Pi Catalan-7Zeta[3]/4, 10, 100][[1]]

Prog

(PARI) Pi*Catalan-7*zeta(3)/4 \\ Charles R Greathouse IV, Feb 12 2025

Crossrefs

Cf. A000796, A002117, A006752, A378021.

Sequence in context: A220052 A153204 A199508 * A136478 A097903 A221566

Adjacent sequences: A378000 A378001 A378002 * A378004 A378005 A378006

Keyword

nonn,cons

Author

Stefano Spezia, Nov 14 2024

Status

approved