First Written: July 2026

This version: July 2026

Maple package

• Propp.txt, a Maple package to compute both exactly and approximate by simulation many interesting constants, by tossing a (usually loaded) coin until, for the first time, the number of Heads exceeds the number of Tails by d+1, and looking at a function of that score (e.g. the number of Heads divided by the total number of tosses, but also many others).

Sample Input and Output for Propp.txt