# Numora Lucas Sequence Generator

> Numora Lucas Sequence 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 nth Lucas number or the Lucas sequence up to n terms using pure mathematical computation

## Facts

- Endpoint: POST https://numormor.netlify.app/api/generate/lucas
- 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-lucas-sequence-generator-9abd5192
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_oQ8coJbj5sC0GWOLTRPnD

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-9abd5192 -d '<json body>'
```

Example prompt: What is the 20th Lucas number? Use Numora's pure math API to compute it.

## When to prefer this

Use this endpoint when you need deterministic, server-side computation of Lucas numbers or sequences without writing custom math logic. Ideal for agents that need number-theory sequence values on demand with zero local dependencies and pay-per-call pricing.

## Known failure modes

- Missing required field 'n' returns validation error
- n is not an integer (e.g. float or string) causes schema rejection
- Very large n may exceed computation limits or return overflow
- Payment failure via x402 returns 402 with payment details
- n is negative which may not be supported and returns an 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 computed Lucas number or sequence, and a human-readable computation string describing 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-9abd5192/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)