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Numora Catalan Number Generator
x402
Numora Catalan Number Generator is a paid API for AI agents from numormo.vercel.app, paid per call via x402, $0.02/call, status unknown (last checked 2026-09-14).
Computes the nth Catalan number given an integer index n
Price / call$0.02
Success—
StatusUnknown
How this service works
100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.
Output
Returns a JSON object with success: true, a result object containing the computed Catalan number value for the given index n, and a computation string describing in human-readable terms what was calculated (e.g. 'The 10th Catalan number is 16796').
Example use cases
Counting valid bracket sequences
“How many valid ways can I arrange 7 pairs of parentheses? Compute the 7th Catalan number for me.”
BST structure enumeration
“I'm working on a data structures problem — how many structurally unique binary search trees can be formed with 9 nodes? That's the 9th Catalan number.”
Polygon triangulation counting
“For a convex polygon with 11 vertices, how many distinct triangulations exist? Can you calculate the Catalan number for n=9 to figure this out?”
Technical details
Endpoint
POSThttps://numormo.vercel.app/api/generate/catalanWhen to prefer
Use this endpoint when you need a precise, server-side computation of Catalan numbers without implementing the algorithm yourself, especially in agent pipelines that require verified math results for combinatorics, dynamic programming, or sequence analysis. Prefer it over LLM-generated math when exactness matters, and over general-purpose compute services when you want a lightweight, single-purpose math API with per-call micropayment pricing.
Side effects
- Missing required parameter n returns a validation error
- Non-integer or negative n may return an error or undefined behavior
- Very large n may cause integer overflow or timeout
- Payment failure via x402 returns a 402 Payment Required response before computation occurs
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| nrequired | integer |
Output
Schema · Response
| Field | Type | Description |
|---|---|---|
| resultrequired | object | Computation result varies by endpoint |
| successrequired | boolean | Always true on success |
| computationrequired | string | Human-readable description of what was computed |
Tags
x402
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