There is symmetry that exists for why the normalization constants of the Multinomial and its conjugate Dirichelt prior have similar forms.

To see it look at the integral of a product of exponentials when the integral is taken over the space of bases verse when the integral is taken over the space of powers.

The statement A->B does not have a negation.

This contradicts classical electrical engineering theory (i.e. truth tables involving negation of A->B).

nth Catalan number Cn

n prime -> (Cn)-2 is divisible by n