  When $p(t)$ is a polynomial of degree $d$, $k$-th column of the Riordan array
$\bigl(1/(1 - t^{d+1}), tp(t)\bigr)$ is an eventually periodic sequence with
the repeating part beginning at the $1 + (k-1)(d+1)$-st term. The pre-periodic
terms add up to the $(k-1)(d+1)$-st partial sum of the corresponding formal
power series, and thus the Riordan array of $p(t)$ generates a sequence of
column partial sums. We classify linear and quadratic polynomials, and present
a particular family of polynomials of higher degrees, for which such sequences
of column partial sums are eventually periodic.
