A084246 Decimal expansion of c = Product_{k>=1} (1 + 8/k^3).

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

Offset: 2

Author

Benoit Cloitre, Jun 21 2003

Keywords

• cons
• nonn

References

• Bruce C. Berndt, Ramanujan Notebook part II, Integral and asymptotic expansions, Springer Verlag, p. 231.

Programs

Mathematica

RealDigits[(Sqrt[3]*Sinh[Sqrt[3]*Pi])/(2*Pi),10,120][[1]] (* Harvey P. Dale, Mar 27 2013 *)

PARI

3*sinh(Pi*sqrt(3))/2/Pi/sqrt(3)

Formula

c = 3*sinh(Pi*sqrt(3))/(2*Pi*sqrt(3)) = 31.8061991101290266173961...