Based on a recent Mathologer video, this shows the number of ways of making change for a given amount. Works best in Firefox and probably Safari. I might or might not add some more features later.

This requires JavaScript

(enter multiple values separated by commas; for infinitely many coins, just enter a number; for finitely many, enter ` value*how many`; e.g.,

Amount:

Number of ways:

Generating function: