Given finitely many consecutive terms of an infinite sequence, we discuss the construction of a polynomial difference equation that the sequence may satisfy. We also present a method to seek a candidate polynomial differential equation for its generating function. It appears that these methods often lead to effective D-algebraic operations.

翻译：给定无穷序列的有限个连续项，我们讨论构造该序列可能满足的多项式差分方程。同时，我们提出一种方法，用于寻找其生成函数可能满足的多项式微分方程候选形式。这些方法似乎常常导向有效的D-代数运算。