  Filippov n-algebroids are introduced by Grabowski and Marmo as a natural
generalization of Lie algebroids. On this note, we characterized Filippov
n-algebroid structures by considering certain multi-input connections, which we
called Filippov connections, on the underlying vector bundle. Through this
approach, we could express the n-ary bracket of any Filippov n-algebroid using
a torsion-free type formula. Additionally, we transformed the generalized
Jacobi identity of the Filippov n-algebroid into the Bianchi-Filippov identity.
Furthermore, in the case of rank n vector bundles, we provided a
characterization of linear Nambu-Poisson structures using Filippov connections.
