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

Author

Stefano Spezia, Nov 14 2024

Keywords

• nonn
• cons

Examples

			0.773991201078871152328038383876510316276128388...
		

References

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

Crossrefs

Cf. A000796, A002117, A006752, A378021.

Programs

Mathematica

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

PARI

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

Formula

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