# Numora Pascal Triangle Generator

> Numora Pascal Triangle Generator is a paid API for AI agents from numomo.vercel.app, paid per call via x402, $0.02/call, status unknown (last checked 2026-09-15).

Generates the first n rows of Pascal's triangle as a pure math computation with zero external dependencies

## Facts

- Endpoint: POST https://numomo.vercel.app/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-c74d3d87
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_v65pSVGgYXlGcVMB29fA1

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-c74d3d87 -d '<json body>'
```

Example prompt: Can you generate Pascal's triangle for the first 12 rows so I can use the binomial coefficients in my probability calculation?

## When to prefer this

Choose this endpoint when you need a fast, self-contained, dependency-free computation of Pascal's triangle rows without calling a general-purpose compute environment. Ideal for AI agents that need binomial coefficients, combinatorial lookups, or triangular number arrays on demand at $0.02 per call via x402 micropayments on Base.

## Known failure modes

- Missing required field 'n' returns a 400 or error response
- Non-integer or negative value for n may cause a validation error or unexpected result
- Very large values of n may cause performance degradation or timeout
- Payment failure via x402 micropayment will block the request before computation

## 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 as nested arrays of integers up to row n, and a human-readable computation description string explaining 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-c74d3d87/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numomo.vercel.app](https://www.zero.xyz/host/numomo.vercel.app/llms.txt)