On the coefficients of the distinct monomials in the expansion of $x_1(x_1+x_2)\cdots (x_1+x_2+\cdots +x_n)$

Sela Fried

We initiate the study of the coefficients of the distinct monomials in the expansion of the multivariate polynomials $x_1(x_1+x_2)\cdots (x_1+x_2+\cdots +x_n),n\in \mathbb{N}$. In particular…