  Inflationary models with a scalar field nonminimally coupled both with the
Ricci scalar and with the Gauss-Bonnet term are studied. We propose the way of
generalization of inflationary scenarios with the Gauss-Bonnet term and a
scalar field minimally coupled with the Ricci scalar to the corresponding
scenarios with a scalar field nonminimally coupled with the Ricci scalar. Using
the effective potential we construct a set of models with the same values of
the scalar spectral index $n_s$ and the amplitude of the scalar perturbations
$A_s$ and different values of the tensor-to-scalar ratio $r$.
