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Numora Catalan Number Generator
x402
Numora Catalan Number Generator is a paid API for AI agents from numomo.vercel.app, paid per call via x402, $0.02/call, status unknown (last checked 2026-09-16).
Computes the nth Catalan number — a combinatorial sequence used in counting nested structures, bracket expressions, and tree topologies.
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 a boolean 'success' field, a 'result' object containing the computed Catalan number for the given index n, and a human-readable 'computation' string describing what was calculated.
Example use cases
Parenthesization count for expression
“How many distinct ways can I parenthesize a product of 8 factors? Use Catalan numbers with n=7 to figure that out.”
Counting binary tree topologies
“I'm working on a CS problem — how many full binary trees exist with 6 internal nodes? That should be the 6th Catalan number.”
Polygon triangulation count
“In how many ways can a convex polygon with 10 sides be triangulated? Calculate the Catalan number at index 8 for me.”
Technical details
Endpoint
POSThttps://numomo.vercel.app/api/generate/catalanWhen to prefer
Choose this endpoint when you need an exact Catalan number for a specific index without setting up a local computation environment, especially inside an AI agent pipeline that benefits from zero-dependency pure math calls with micropayment access. Prefer it over general-purpose code execution when you want a deterministic, fast, self-contained API call.
Side effects
- Non-integer or missing 'n' returns a validation error
- Negative value of 'n' may return an error or undefined result
- Very large values of 'n' may exceed integer precision or timeout
- Payment failure via x402 prevents computation from proceeding
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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