On multi F-nomial coefficients

In response to [6], we discover the looked for inversion formula for F -nomial coefficients. Before supplying its proof, we generalize F -nomial coefficients to multi F -nomial coefficients and we give their combinatorial interpretation in cobweb posets language, as the number of maximal-disjoint blocks of the form σPk1,k2,...,ks of layer 〈Φ1 → Φn〉. Then we present inversion formula for F -nomial coefficients using multi F-nomial coefficients for all cobwebadmissible sequences. To this end we infer also some identities as conclusions of that inversion formula for the case of binomial and Gaussian coefficients.