# Numora Euler Number Generator

> Numora Euler Number 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).

Computes Euler numbers (E_n) for a given non-negative integer index n

## Facts

- Endpoint: POST https://numomo.vercel.app/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-4f0229e0
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_uTVWpLZrwGqOkxHdnp7Rz

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-4f0229e0 -d '<json body>'
```

Example prompt: What is the Euler number E_10? Use the Numora pure math API to compute it for index n=10.

## When to prefer this

Choose this endpoint when you need exact, pure-math Euler numbers (E_n from the alternating permutation / secant-expansion sequence) with no external dependencies, at low per-call cost ($0.02 USDC). Prefer this over general-purpose CAS tools when you need a lightweight, deterministic, agent-callable REST endpoint with x402 micropayment support on Base.

## Known failure modes

- Missing required parameter 'n' returns a validation error
- Negative or non-integer value for 'n' may return an error or undefined behavior
- Very large values of 'n' may cause computation timeouts or overflow
- Payment failure via x402 micropayment protocol prevents the call from being processed
- Network or server error on vercel.app deployment returns 5xx

## 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' (boolean, always true on success), 'result' (object containing the computed Euler number E_n for the given index), and 'computation' (a human-readable string describing what was calculated, e.g. 'Euler number E(10)')

## 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-4f0229e0/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)