A185266 Gauss's constant beta = 2*alpha*gamma + 3*alpha^2*h - log(2)*alpha/6, where alpha = 4/Pi^2 (A185199), gamma is Euler's constant (A001620) and h = -Zeta(1,2) (A073002).

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

Offset: 0

Author

N. J. A. Sloane, Feb 19 2011

Keywords

• cons
• nonn

Examples

			.88304604616505952780524442919039311621365124307796390093051...
		

References

• C. F. Gauss, Disquisitiones Arithmeticae, Yale, 1965; see p. 358 (there is a typo in the definition: in the last line on page 358, "a" should be alpha).

Links

• G. C. Greubel, Table of n, a(n) for n = 0..5000

Programs

Mathematica

RealDigits[(8/Pi^2)*EulerGamma - (48/Pi^4)*Zeta'[2] - (2/3)*Log[2]/Pi^2, 10, 50][[1]] (* G. C. Greubel, Jun 25 2017 *)