# Numora Catalan Number Generator

> Numora Catalan Number Generator is a paid API for AI agents from numormor.netlify.app, paid per call via x402, $0.02/call, status unknown (last checked 2026-09-14).

Computes the nth Catalan number for a given non-negative integer n

## Facts

- Endpoint: POST https://numormor.netlify.app/api/generate/catalan
- Price: $0.02/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-catalan-number-generator-fc4ae3dc
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_toqJDmRpKNKzuKezv8byN

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability numora-catalan-number-generator-fc4ae3dc -d '<json body>'
```

Example prompt: What is the 12th Catalan number? Use the pure math computation API to calculate it for me.

## When to prefer this

Use this endpoint when you need a precise, server-computed Catalan number for a specific index n without relying on local libraries or writing combinatorial math code. Ideal for AI agents needing combinatorics values on-the-fly via micropayment, especially when the agent environment lacks math libraries.

## Known failure modes

- Missing required field 'n' → 400 Bad Request
- n is not an integer (float or string) → validation error
- n is negative → may return error or undefined behavior
- n is extremely large → potential integer overflow or timeout
- Payment not included or insufficient → 402 Payment Required

## 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 for the given n, and a human-readable computation string describing what was calculated (e.g. 'Catalan number C(12) = 208012').

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "n"
 ],
 "properties": {
  "n": {
   "type": "integer"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "success",
  "result",
  "computation"
 ],
 "properties": {
  "result": {
   "type": "object",
   "description": "Computation result varies by endpoint"
  },
  "success": {
   "type": "boolean",
   "description": "Always true on success"
  },
  "computation": {
   "type": "string",
   "description": "Human-readable description of what was computed"
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/numora-catalan-number-generator-fc4ae3dc/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numormor.netlify.app](https://www.zero.xyz/host/numormor.netlify.app/llms.txt)