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Numora Catalan Number Generator
x402
Numora Catalan Number Generator is a paid API for AI agents from numorapoi.orbonomy.xyz, paid per call via x402, $0.02/call, status unknown (last checked 2026-09-15).
Computes the nth Catalan number for a given non-negative integer 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 a boolean success flag, 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
Example prompt
“What is the 12th Catalan number? I need it for a combinatorics problem involving counting the number of valid bracket sequences.”
Technical details
Endpoint
POSThttps://numorapoi.orbonomy.xyz/api/generate/catalanWhen to prefer
Use this endpoint when you need a precise, server-side computation of a Catalan number by index and want a zero-dependency pure math result without implementing the formula yourself. Ideal for combinatorics tasks, counting problems (polygon triangulations, Dyck paths, binary trees), or number theory workflows where Catalan numbers are needed on demand.
Side effects
- Missing required field 'n' returns a 400 validation error
- Non-integer or negative value for n may return an error or undefined result
- Very large n may cause overflow or extremely slow computation
- Payment not provided or invalid x402 micropayment returns 402 Payment Required
- Server unreachable returns 5xx error
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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