# Numora Pascal Triangle Generator

> Numora Pascal Triangle 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).

Generates Pascal's triangle up to row n, returning all rows and binomial coefficients via a pure math computation endpoint.

## Facts

- Endpoint: POST https://numorapoi.orbonomy.xyz/api/generate/pascal-triangle
- Price: $0.02/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-15
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-pascal-triangle-generator-9605e0df
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_YdiHasu8FJqyRqWBv9jj7

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-9605e0df -d '<json body>'
```

Example prompt: Can you generate Pascal's triangle for the first 8 rows so I can get the binomial coefficients?

## When to prefer this

Use this endpoint when you need to compute Pascal's triangle serverlessly without any local math library, especially in agentic workflows that already use x402 micropayment infrastructure on Base. Ideal for combinatorics, binomial expansions, probability calculations, or generating triangular number sequences on demand.

## Known failure modes

- Missing required parameter n returns validation error
- Non-integer or negative n causes computation failure
- Very large n may result in timeout or oversized response
- Payment not included or invalid results in 402 Payment Required
- Server unavailable returns 5xx 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 rows up to row n, 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-9605e0df/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numorapoi.orbonomy.xyz](https://www.zero.xyz/host/numorapoi.orbonomy.xyz/llms.txt)