Generalized VAN DER POL numbers

A Property of the Rayleigh Function

“…Restricting ourselves to the prime 2, and using induction on (1.1), we shall find in this paper the exact power of 2 dividing a2niy) when v is a rational number a/b, a odd and b even. This will extend the results of [2 ] where the same problem was solved for v one half an odd integer. In this paper we shall also prove some congruences (mod 2), (mod 4), and (mod 8).…”