Number of ways of making change

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

Presets: US coins US coins (up to $1) US dollar bills Binary (up to 256) Decimal (up to 1000) McNuggets (without 4-packs) McNuggets (with 4-packs)

Coin values:

(enter multiple values separated by commas; for infinitely many coins, just enter a number; for finitely many, enter value*how many; e.g., 25*4 means four quarters; must be integers)

Amount:

Number of ways:

Generating function: