Fibonacci Generation for AI Agents

Overview

The Fibonacci Generator API computes Fibonacci sequence values along with derived statistics — a sum, the trailing 5 consecutive-value ratios, and the most recent ratio as an approximation of the golden ratio. It accepts two mutually-exclusive modes: `count` for a fixed-length response, or `maxvalue` for every Fibonacci number up to a numeric ceiling. An optional `startfrom` parameter advances the generator before emission begins. All arithmetic uses standard JavaScript Number type on the server, so values above Number.MAX_SAFE_INTEGER (around the 79th Fibonacci number) cannot be represented exactly — the precision ceiling is end-to-end. The ratios array is always truncated to the last 5 entries regardless of sequence length, and each ratio is rounded to 6 decimal places.

Live Test Fibonacci Generation for AI Agents Source →

The tool

Once your client is connected to the VerveContext server, this appears in its tool list as FibonacciGenerationforAIAgents. It is read-only and open-world — it fetches and never mutates anything on your side — so most clients call it without asking you to confirm.

{
  "name": "FibonacciGenerationforAIAgents",
  "arguments": {
    "count": "10"
  }
}

You do not name the tool yourself; the model picks it. Asking about 10 in the terms this source covers is enough for it to reach for FibonacciGenerationforAIAgents on its own — naming it explicitly also works, and is the way to force the call.

Connecting

One server URL covers every source in the catalog, including this one. Authorization is OAuth: the client opens a browser once, and there is no key to paste into a config file.

{
  "mcpServers": {
    "vervecontext": {
      "url": "https://api.vervecontext.com/v1/mcp"
    }
  }
}

https://api.vervecontext.com/v1/mcp

Per-client setup — Claude, Cursor, VS Code, ChatGPT — is on the MCP setup page.

Arguments

These are the properties on the tool's inputSchema, so a well-behaved client validates them before the call is made. Premium arguments are accepted on every plan but only take effect on plans that include them.

What the model gets back

The result carries a structuredContent object matching the tool's declared outputSchema, so a client reads fields without parsing prose. status is "ok" and error is null on success; a null field means the value was not available for that input, not that the call failed.

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{
  "status": "ok",
  "error": null,
  "data": {
    "sequence": [
      0,
      1,
      1,
      2,
      3,
      5,
      8,
      13,
      21,
      34
    ],
    "count": 10,
    "start_from": 0,
    "first_value": 0,
    "last_value": 34,
    "sum": 88,
    "ratios": [
      1.666667,
      1.6,
      1.625,
      1.615385,
      1.619048
    ],
    "golden_ratio_approximation": 1.619048
  }
}

Response fields

Paths are relative to data. Premium fields are absent rather than zeroed on plans that do not include them, so check for presence instead of comparing to 0.

Why ground on it

A model can produce something that looks like this answer from its training data, and be confidently out of date or simply wrong. This source returns the current value in a shape you can check, which is the difference between an answer you can cite and one you have to hedge.

Point an evaluation at start_from: it is the field most worth pinning a claim to, and it is either present and current or absent — never plausibly invented.

Failure modes

Errors come back as tool errors carrying a sentence the model can act on, not a bare status code. Error handling covers the full list.

A call costs 2 credits each time the tool actually runs; a model that reasons about the tool without calling it costs nothing.

Use cases

Math Education

Teach Fibonacci sequences and golden ratio concepts in educational applications and tools

Algorithm Testing

Generate test data for algorithms and performance testing using Fibonacci sequences

Visual Design

Apply Fibonacci ratios and golden ratio proportions in design and layout calculations

Data Analysis

Use Fibonacci numbers in technical analysis, trading algorithms, and pattern recognition

Other ways to use Fibonacci Generation for AI Agents

Set up Fibonacci Generation for AI Agents on VerveContext, or reach the same source a different way. Your VerveContext account and credits work on all of them — one key, one balance.

Related

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