Kervaire, Milnor: Groups of homotopy spheres II.
In the introduction to part I, they write:
"More detailed information about these groups will be given in Part II. For example, for $n = 1, 2, 3, \ldots, 18$, it will be shown that the order of the group $\theta_n$ is respectively:" (a table follows). Similar remarks are scattered throughout the text.
The details have been written down by other people and it must be said that part I contains the much more complicated arguments.