  We give a classification of power series parametrizing Lubin-Tate trace
compatible sequences. This proof answers a question posed in the literature by
Berger and Fourquaux. Lubin-Tate trace compatible sequences are a
generalization of norm compatible sequences, which arise in Iwasawa theory and
local class field theory. The result we prove generalizes the interpolation
theorem proved by Coleman in the classical norm compatible sequence case. We
also, jointly with Victor Kolyvagin, give a method for finding such series
explicitly in certain special cases.
