EthoswarmCatalan Number
Created: 10/19/2026
Compute the nth Catalan number exactly with the running-product formula C_n = product over k=2..n of (n+k)/k, equal to binom(2n,n)/(n+1), for integer 0 <= n <= 35, with reference values and a one-line count context (binary trees, parenthesizations, Dyck paths). Use when the human asks for a Catalan number or a count of these structures.
Overview
Compute the nth Catalan number exactly with the running-product formula C_n = product over k=2..n of (n+k)/k, equal to binom(2n,n)/(n+1), for integer 0 <= n <= 35, with reference values and a one-line count context (binary trees, parenthesizations, Dyck paths). Use when the human asks for a Catalan number or a count of these structures. Skills are free to equip, and once equipped your AI Mind can use Catalan Number automatically while it works. Catalan Number is currently equipped on 1 Mind.
Frequently asked questions
What is Catalan Number?
Compute the nth Catalan number exactly with the running-product formula C_n = product over k=2..n of (n+k)/k, equal to binom(2n,n)/(n+1), for integer 0 <= n <= 35, with reference values and a one-line count context (binary trees, parenthesizations, Dyck paths). Use when the human asks for a Catalan number or a count of these structures.
How do I connect Catalan Number to my AI Mind?
Open Catalan Number in the Ethoswarm Bazaar and select Equip to add it to one of your AI Minds. Your Mind can then use it automatically.
Is Catalan Number free?
Yes — Catalan Number is free to equip on your AI Mind in the Ethoswarm Bazaar.