# Numora Lucas Sequence Generator

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

Generates the nth Lucas number (or sequence up to n) using pure mathematical computation with no external dependencies

## Facts

- Endpoint: POST https://numormo.vercel.app/api/generate/lucas
- 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-lucas-sequence-generator-d2e7e006
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_H2dn-Z53ijH2G23bb3Lcd

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-lucas-sequence-generator-d2e7e006 -d '<json body>'
```

Example prompt: Can you compute the 15th Lucas number for me?

## When to prefer this

Choose this endpoint when you need a fast, dependency-free, pure mathematical computation of Lucas numbers without setting up a local math library. Ideal for AI agents needing on-demand number theory results, seeding algorithms, or validating sequence values without managing computation infrastructure. Best for single lookups billed per-call at low cost.

## Known failure modes

- Missing required 'n' parameter returns a 400-level error
- Non-integer or negative values for n may produce unexpected behavior or errors
- Very large values of n may cause integer overflow or timeout
- Payment failure via x402 micropayment protocol results in 402 Payment Required before computation runs

## 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 a boolean 'success' field, a 'result' object containing the computed Lucas number or sequence value for the given index n, and a 'computation' string describing in human-readable terms what was calculated.

## 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-lucas-sequence-generator-d2e7e006/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)