Keywords :
N)M(m , N) , k) is the number of integer partitions of n into k parts. , n)=?N=0np(n , Matrix notation simplifies derivatives and relates them to integer partitions.• By differentiation , terms are Dn(f1???fm) are related to terms of Dn+1(f1???fm). By matrix notation , n) be the number of terms of the nth derivative of a composition of m functions. Then M(m+1 , terms of Dn(f1???fm) are related to terms of Dn(f1???fm+1).• Let M(m , where p(n