That should be

  even 0 = true
  even n = odd n-1

  odd 0 = false
  odd n = even n-1

I fed a C version of this (with unsigned n to keep the nasal daemons at bay) to clang and observed that it somehow manages to see through the mutual recursion, generating code that doesn't recurse or loop.

RecursionError: maximum recursion depth exceeded

This is very important for self-recursion.