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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
OFFSET
0,1
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
KEYWORD
nonn,cons
AUTHOR
Ilya Gutkovskiy, Jun 19 2019
STATUS
approved