catalan_calc
Compute the nth Catalan number and its combinatorial interpretations.
This record as markdown: /tools/io-github-malamutemayhem-unclick-mcp-server/catalan-calc.md
What catalan_calc does on UnClick
AI agents call catalan_calc to retrieve information from UnClick without modifying anything. It is typically the context-gathering step in research, monitoring, and reporting workflows, before the agent takes action elsewhere.
| Parameter | Type | Required | Description |
|---|---|---|---|
n | number | Yes | Non-negative integer index |
count | number | — | Limit sequence length (used with sequence: true) |
sequence | boolean | — | Return the full sequence from 0 to n (default false) |
Parameters from the server's own tool schema.
Why catalan_calc is rated Low
This is a pure mathematical computation tool that retrieves pre-calculated or computed mathematical values. It has no ability to modify data, execute arbitrary code, delete resources, or perform financial transactions. The blast radius of misuse is minimal—an AI agent cannot cause harm by requesting Catalan numbers. This clearly falls under Read category (retrieves/queries data with no side effects).
From the tool's definition Tool computes and returns the nth Catalan number and its combinatorial interpretations. The verb 'compute' indicates calculation/retrieval of mathematical data with no side effects, no data modification, no code execution in user environment, and no…
Attacks that exploit this kind of access
The rule that runs catalan_calc safely
PolicyLayer is an MCP gateway: it sits between your AI agents and UnClick, and checks every tool call against a rule you set before the call runs. Nothing changes on the server itself. For catalan_calc, this is the rule to start with:
catalan_calc is read-only, so it stays allowed. Everything else on the server is denied unless you say otherwise.
The button opens the PolicyLayer dashboard: create your workspace, connect UnClick, apply this rule, and every catalan_calc call is checked against it from then on.
Questions about catalan_calc
Compute the nth Catalan number and its combinatorial interpretations. It is categorised as a Read tool in the UnClick MCP Server, which means it retrieves data without modifying state.
catalan_calc accepts 3 parameters: n, count, sequence. Required: n. The full parameter table on this page comes from the server's own tool schema.
Register the UnClick MCP server in PolicyLayer and add a rule for catalan_calc: allow, deny, rate-limit, or require approval. Point your MCP client at the PolicyLayer proxy URL and the rule is enforced on every call, before it reaches UnClick. Nothing to install.
catalan_calc is a Read tool with low risk. Read-only tools are generally safe to allow by default.
Yes. Add a rate_limit block to the catalan_calc rule in your PolicyLayer policy. For example, setting max: 10 and window: 60 limits the tool to 10 calls per minute. Rate limits are tracked per agent session and reset automatically.
Set action: deny in the PolicyLayer policy for catalan_calc. The AI agent will receive a policy violation error and cannot call the tool. You can also include a reason field to explain why the tool is blocked.
catalan_calc is provided by the UnClick MCP server (@unclick/mcp-server). PolicyLayer sits as a proxy in front of this server to enforce policies before tool calls reach the server.
More on UnClick, and thousands of servers like it.
This server
Across the catalogue