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A308713 Decimal expansion of sqrt(2)*sinh(sqrt(2)*Pi)/(33*Pi). 1
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 (list; constant; graph; refs; listen; history; text; internal format)
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

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Last modified September 28 11:24 EDT 2020. Contains 337393 sequences. (Running on oeis4.)