%I #5 Jun 30 2021 02:40:20

%S 1,8,4,8,9,3,6,1,8,2,8,5,8,2,4,4,4,8,5,2,2,4,9,2,6,8,5,5,5,2,0,8,3,9,

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

%U 6,6,5,6,8,0,7,9,0,6,7,7,9,4,4,6,9,7,8

%N Decimal expansion of Product_{k>=1} (1 + 1/k + 1/k^2)^2/(1 + 2/k + 3/k^2).

%H Jonathan M. Borwein and Robert M. Corless, <a href="http://www.jstor.org/stable/2589743">Emerging Tools for Experimental Mathematics</a>, The American Mathematical Monthly, Vol. 106, No. 10 (1999), pp. 889-909.

%F Equals 3*sqrt(2)*cosh(Pi*sqrt(3)/2)^2/(Pi*sinh(Pi*sqrt(2))).

%e 1.84893618285824448522492685552083905909259253189639...

%t RealDigits[3*Sqrt[2]*Cosh[Pi*Sqrt[3]/2]^2/(Pi*Sinh[Pi*Sqrt[2]]), 10, 100][[1]]

%Y Cf. A090986.

%K nonn,cons

%O 1,2

%A _Amiram Eldar_, Jun 29 2021