  A recursive deformation of the boson commutation relation is introduced. Each
step consists of a minimal deformation of a commutator
$[a,\ad]=f_k(\cdots;\no)$ into $[a,\ad]_{q_{k+1}}=f_k(\cdots;\no)$, where
$\cdots$ stands for the set of deformation parameters that $f_k$ depends on,
followed by a transformation into the commutator $[a,\ad]=f_{k+1}(\cdots,\,
q_{k+1};\no)$ to which the deformed commutator is equivalent within the Fock
space. Starting from the harmonic oscillator commutation relation $[a,\ad]=1$
we obtain the Arik-Coon and the Macfarlane-Biedenharn oscillators at the first
and second steps, respectively, followed by a sequence of multiparameter
generalizations. Several other types of deformed commutation relations related
to the treatment of integrable models and to parastatistics are also obtained.
The ``generic'' form consists of a linear combination of exponentials of the
number operator, and the various recursive families can be classified according
to the number of free linear parameters involved, that depends on the form of
the initial commutator.
