# Numora Euler Number Generator

> Numora Euler Number 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 the nth Euler number using pure mathematical computation

## Facts

- Endpoint: POST https://numorapoi.orbonomy.xyz/api/generate/euler
- 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-euler-number-generator-e9487e8d
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_GTf4t8XX_E0MB7RyQzACW

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-euler-number-generator-e9487e8d -d '<json body>'
```

Example prompt: Can you compute the 10th Euler number for me using a pure math API?

## When to prefer this

Choose this endpoint when you need a fast, dependency-free computation of Euler numbers by index without running local math libraries. Useful for agents doing number theory tasks, mathematical sequence generation, or combinatorics without access to a math runtime.

## Known failure modes

- Missing required parameter n returns validation error
- Non-integer value for n causes schema rejection
- Negative or very large n may return out-of-range error or overflow
- Payment failure via x402 micropayment returns 402 status
- Network timeout on the orbonomy.xyz domain

## 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 Euler number for the given index n, 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-euler-number-generator-e9487e8d/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)