We propose a generalization of the Pascal n-simplex by considering the generators \(e_1,e_2,\dots ,e_n\) of the \(2^n-\) dimensional Clifford algebra \({\mathcal {C} \ell }_{0,n}\) over \(\mathbb {R}\) in the multinomial expansion of powers of their sum. We investigate various patterns within this structure and examine several of its properties and associated combinatorial identities. Our results establish a direct connection between this hypercomplex Pascal n-simplex and the terms of a generalized Vietoris number sequence, which plays an important role in the theory of Appell hypercomplex polynomials.
