What do we call a preset formula that computes a sequence of values?

The term for a preset formula that computes a sequence of values is known as a function. A function is a defined mathematical relationship between a set of inputs and outputs, where each input is associated with exactly one output. In programming and mathematics, functions can take values, apply a specific operation or calculation to them, and return a result—thus generating a sequence of values based on those inputs.

While other terms might seem relevant, they do not encapsulate the concept as directly as "function." For instance, while a formula is a mathematical expression that defines a calculation, it does not inherently imply the capability of sequencing outputs based on input like a function does. Similarly, a template establishes a predefined format or structure for documents or tasks, but it does not inherently compute values. An algorithm, on the other hand, is a step-by-step procedure for calculations or problem-solving, but it can be broader in scope beyond just calculating a sequence and may not always represent a simple preset formula.