OFFSET
1,1
FORMULA
Equals Product_{k>=1} (1 + 1/(k*(k + 1)*(k + 2)/6)).
Equals Product_{k>=1} (1 + 1/A000292(k)).
Equals Product_{k>=2} (1 + 2/k^2). - Amiram Eldar, Aug 02 2020
EXAMPLE
3.188917887548962422285938616665096752406529595142992...
MATHEMATICA
RealDigits[Sinh[Sqrt[2] Pi]/(3 Sqrt[2] Pi), 10, 120][[1]]
RealDigits[Product[(1 + 1/(k (k + 1) (k + 2)/6)), {k, 1, Infinity}], 10, 120][[1]]
PROG
(PARI) sinh(sqrt(2)*Pi)/(3*sqrt(2)*Pi) \\ Michel Marcus, Jun 15 2019
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Ilya Gutkovskiy, Jun 15 2019
STATUS
approved