In the published version of the paper:

Peter W. Michor:
Remarks on the FrölicherNijenhuis bracket.
Proc. Conference Differential Geometry and its Applications, Brno 1986, D. Reidel,
(1987), 197220, MR 89c:53014, ZM 633.53024.
the following error has occurred:
The formula in the third line of 3.5 on page 207 should have the commutator
instead of the composition on the right hand side:
$$
[ P, Q ]^\^(X_1,\dots,X_{p+q}) = \frac1{p!\,q!} \sum_{\sigma}
\operatorname{sign}(\sigma)
[P(X_{\sigma1},\dots,X_{\sigma p}),
Q(X_{\sigma(p+1)},\dots,X_{\sigma(p+q)})]
$$
The version on Peter Michor's homepage has not been corrected yet.