A308713 Decimal expansion of sqrt(2)*sinh(sqrt(2)*Pi)/(33*Pi).

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

Offset

0,1

Links

Table of n, a(n) for n=0..118.

Formula

Equals Product_{k>=2} (1 - 1/(k*(k + 1)*(k + 2)/6)).

Equals Product_{k>=2} (1 - 1/A000292(k)).

Example

0.579803252281629531324716112120926682255732653662...

Mathematica

RealDigits[Sqrt[2] Sinh[Sqrt[2] Pi]/(33 Pi), 10, 119][[1]]

Prog

(PARI) sqrt(2)*sinh(sqrt(2)*Pi)/(33*Pi) \\ Michel Marcus, Jun 20 2019

Crossrefs

Cf. A000292, A308666, A308714.

Sequence in context: A021637 A177705 A135913 * A109352 A228578 A242742

Adjacent sequences: A308710 A308711 A308712 * A308714 A308715 A308716

Keyword

nonn,cons

Author

Ilya Gutkovskiy, Jun 19 2019

Status

approved