Prod[1-(n+1)^3, n=1,...,Inf]

[zak seidov]

Prod[1-(n+1)^3,n=1,...,Inf]=
Cosh[(Sqrt[3]*Pi)/2]/(3*Pi)=
0.809396597366290109578680478726.

Is this cons known?

Corresponding SEQ 
(0?,)8,0,9,3,9,6,6,9,8,3,8,9,2,7,3,4,8,2,4,0,1,6,3,7,9,
not in EIS.

Cf. A116393:
Prod[1-(prime[n]+1)^3,n=1,...,Inf]=
0.9403004145703

Thanks, Zak

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