In my tries for solving a problem I repeatedly came across a couple of constants. This is an exciting news (well, just for me!) but there are not elegant. I cannot figure out what do they represent. That would be excellent if you know an equivalent representation for them. Here I write the most interesting one of them: 0.496077421
Do you know this number?
Info: I am doing some numerical experiments on the relations between various independent variables and one dependent variable (a polynomial regression). So there is no integral or a structural equation that the constant can be analytically estimate from. The data is also simulated, but the contact is there for various samples and runs. The data generation process has been tested very carefully, so the source of the constant is not from within the DGP.
The closest value found by an Inverse Symbolic Calculator is $$\sin \left(\frac{153 \pi }{926}\right)=\cos \left(\frac{155\pi }{463}\right)\approx 0.496077404557205$$ I suppose that it is of absolutely no interest!
Edit
$$\sin \left(\frac{651209}{3941304} \pi \right)\approx 0.496077421000186$$ $$\tan \left(\frac{460169 }{3139303}\pi \right)\approx 0.496077421000020$$ $$\sinh \left(\frac{2029191}{4247830}\right)\approx 0.496077421000064$$