GENERALIZED PASCAL MATRIX AND RECURRENCE SEQUENCES

This paper gives a product formula of the generalized Pascal matrix Ph i(n),[x,y], from this, getting the striking simplicity of the powers o f Phi(n)[x,y]. Furthermore, this paper defines the IEGP-matrix Omega(n )[x,y]. It is shown that not only can Omega(n)[x,y] be factorized by s pecial summation matrices, but also has the closely relation with gene ralized Fibonacci sequences W-n(x,y), an explicit diagonalization of O mega(n)[x,y] is given. (C) 1998 Elsevier Science Inc. All rights reser ved.