BTW, the value:

1/(-1,850354529) = -0,540436972651802

while cos(-1) which is the real part of -I*e^(-I) in complex plane is

cos (-1) = -0,54030230586814

The difference between infinite negative pentation of e and cos(-1) being 0,025%.

I have a feeling something is being rather closely approximated by infinite negative pentation of e (e.g. alpha, (-I*e^(-I )), ) . Where would the next steps of approximation hide?

1/(-1,850354529) = -0,540436972651802

while cos(-1) which is the real part of -I*e^(-I) in complex plane is

cos (-1) = -0,54030230586814

The difference between infinite negative pentation of e and cos(-1) being 0,025%.

I have a feeling something is being rather closely approximated by infinite negative pentation of e (e.g. alpha, (-I*e^(-I )), ) . Where would the next steps of approximation hide?