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Two programs that illustrate the creation of OEIS array A089840, which lists signature permutations of non-recursive Catalan automorphisms, that is, bijections of finite plane binary trees, with no unlimited recursion down to indefinite distances from the root.
This repository contains a Python script that calculates the digits of π (pi) using a novel algorithm based on Catalan numbers and fixed-point arithmetic. The algorithm efficiently computes the digits of π by leveraging the properties of Catalan numbers, making it a unique and effective method for high-precision calculations.
CIDER: Scheme-routines that take as their input parenthesizations (S-expressions) and output their various Catalan manifestations as Encapsulated Postscript
Python script for drawing "Wolframesque" images (like in Wolfram's magnus opus New Kind of Science) of various iterated systems based on Catalan bijections applied repeatedly to a Dyck path (or equivalently, a rooted binary tree) whose size is increased at each iteration.