# Numora Lucas Sequence Generator

> Numora Lucas Sequence Generator is a paid API for AI agents from numorapoi.orbonomy.xyz, paid per call via x402, $0.02/call, status unknown (last checked 2026-09-14).

Generates the first N terms of the Lucas sequence (2, 1, 3, 4, 7, 11, ...) via a pure math computation endpoint

## Facts

- Endpoint: POST https://numorapoi.orbonomy.xyz/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-008d7fd6
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_KOE3Tybo4C-TAuXG96BMi

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-008d7fd6 -d '<json body>'
```

Example prompt: Can you generate the first 15 terms of the Lucas sequence for me?

## When to prefer this

Use this endpoint when you need a server-side, zero-dependency computation of the Lucas sequence and don't want to implement the logic locally. Ideal for AI agents that require on-demand mathematical sequence generation without maintaining local math libraries. Preferred over Fibonacci endpoints when the specific Lucas series (starting 2, 1) is needed.

## Known failure modes

- Missing required field 'n' returns a validation error
- Non-integer or negative value for n may return an error or unexpected result
- n too large may cause timeout or computation limits
- Payment failure via x402 micropayment returns 402 status before computation occurs

## 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 Lucas sequence terms (the first n numbers in the Lucas series starting 2, 1, 3, 4, 7, ...), 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-008d7fd6/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)