# ONE Engine Scaled Difference Series — Parameter 2, Tier 5

> ONE Engine Scaled Difference Series — Parameter 2, Tier 5 is a paid API for AI agents from one-search.one-engine.workers.dev, paid per call via x402, $0.0036/call, status unknown (last checked 2026-11-07).

Calculates sequential differences of a numeric series scaled by N=2, returning tier-5 diagnostics with progressively richer output.

## Facts

- Endpoint: POST https://one-search.one-engine.workers.dev/v12/number-series/scaled-difference/p2/t5?utm_source=zero.xyz
- Price: $0.0036/call
- Payment: x402
- Status: unknown
- Last checked: 2026-11-07
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/one-engine-scaled-difference-series-parameter-2-tier-5-e4cadc0c
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_MuPtZVDjgThG6zhiNsCAW

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 one-engine-scaled-difference-series-parameter-2-tier-5-e4cadc0c -d '<json body>'
```

Example prompt: Calculate the sequential differences for the number series [3, 7, 12, 20, 31] scaled by 2, and give me the full tier-5 diagnostic breakdown of the results.

## When to prefer this

Choose this endpoint when you need deterministic sequential difference calculations with a scaling factor of 2 and want richer tier-5 diagnostic output for debugging, auditing, or analytical purposes. It is best suited for lightweight, low-cost numeric series transformations where you want more than basic output — tier 5 provides progressively more metadata than lower tiers. Prefer this over generic math libraries when you need a pay-per-call, agent-friendly REST interface with structured diagnostics.

## Known failure modes

- Input series too short (fewer than 2 elements) — insufficient data to compute differences
- Invalid or non-numeric values in the series — malformed input error
- Payment not fulfilled via x402 — HTTP 402 response blocking execution
- Server-side computation error for extreme numeric ranges — overflow or precision error
- Missing required POST body fields — 400 bad request

## How this service works

Deterministic numeric series utility: Calculate sequential differences scaled by N; parameter=2. Tier 5/10 provides progressively richer diagnostics.

## Output

Returns an array of scaled sequential differences (each consecutive pair difference multiplied by the scaling parameter N=2), accompanied by tier-5 progressive diagnostics including intermediate values, step-level metadata, and richer analytical output compared to lower tiers.

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/one-engine-scaled-difference-series-parameter-2-tier-5-e4cadc0c/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from one-search.one-engine.workers.dev](https://www.zero.xyz/host/one-search.one-engine.workers.dev/llms.txt)