A377589 Decimal expansion of 9*zeta(3)/(2*Pi^2) - log(2) + 1/3.

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

Offset: 0

Author

Stefano Spezia, Nov 02 2024

Keywords

• nonn
• cons

Examples

			0.18825837982446689796062876035594274490384190278...
		

References

• Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.6.3, pp. 43-44.

Crossrefs

Cf. A002117, A002162, A094642, A164102, A244009, A377588, A377592.

Programs

Mathematica

RealDigits[9Zeta[3]/(2Pi^2)-Log[2]+1/3,10,100][[1]]

Formula

Equals Sum_{k>=1} zeta(2*k)/((2*k + 3)*2^(2*k-1)) (see Finch).