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

2,1

References

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

Links

Table of n, a(n) for n=2..106.

Formula

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

Mathematica

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

Prog

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

Crossrefs

Sequence in context: A165781 A152095 A096797 * A141252 A276168 A165498

Adjacent sequences: A084243 A084244 A084245 * A084247 A084248 A084249

Keyword

cons,nonn

Author

Benoit Cloitre, Jun 21 2003

Status

approved