# Numora Pascal Triangle Generator

> Numora Pascal Triangle 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).

Generates Pascal's triangle up to n rows, returning all row values as a pure math computation with no external dependencies

## Facts

- Endpoint: POST https://numormo.vercel.app/api/generate/pascal-triangle
- 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-pascal-triangle-generator-47f3d522
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_o8au1daaxDfGMPrfVX75f

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-pascal-triangle-generator-47f3d522 -d '<json body>'
```

Example prompt: Generate Pascal's triangle with 10 rows so I can look up binomial coefficients.

## When to prefer this

Choose this endpoint when you need a fast, serverless, dependency-free computation of Pascal's triangle rows — especially in agentic pipelines where you want pure math with micropayment billing via x402 on Base rather than running local code or calling a general-purpose computer algebra system.

## Known failure modes

- Missing required field 'n' returns a 400-level error
- n is not a valid integer (e.g. float or string) causes a validation failure
- Extremely large n values may cause timeout or memory errors
- Payment not included or insufficient USDC causes x402 payment-required error

## 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 full Pascal's triangle as a 2D array of integers (each inner array is one row), and a human-readable computation string describing what was computed.

## 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-pascal-triangle-generator-47f3d522/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numormo.vercel.app](https://www.zero.xyz/host/numormo.vercel.app/llms.txt)