# Numora Pascal Triangle Generator

> Numora Pascal Triangle 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).

Generates the first n rows of Pascal's Triangle as a pure math computation with no external dependencies

## Facts

- Endpoint: POST https://numormor.netlify.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-568164c8
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_A5ih-iS67h8-TyVpCWZnz

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-568164c8 -d '<json body>'
```

Example prompt: Generate the first 12 rows of Pascal's triangle for me so I can use the binomial coefficients for my combinatorics calculation.

## When to prefer this

Use this endpoint when you need a mathematically precise, dependency-free generation of Pascal's Triangle rows — especially in agentic pipelines requiring binomial coefficients, combinatorial values, or triangular number sequences via a simple micropayment API call on Base.

## Known failure modes

- Missing required field 'n' returns validation error
- Non-integer or negative value for 'n' causes computation failure
- Extremely large values of 'n' may cause timeout or memory issues
- Payment failure via x402 returns 402 status before computation begins

## 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 success flag, a result object containing the rows of Pascal's Triangle (each row being an array of integers representing binomial coefficients), and a human-readable computation description string.

## 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-568164c8/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)