ScorpTech x402 Tools

Hofstadter

hofstadter

Read-onlyIdempotent

Hofstadter G. G(0) is 0, G(1) and G(2) are 1, G(5) is 3, and G(10) is 6. The rule is G(n) = n - G(G(n-1)). n runs from 0 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hofstadter

Tool call template

Replace each placeholder with a value matching the input schema. Only required parameters are included; add optional parameters as needed.

{
  "id": 1,
  "jsonrpc": "2.0",
  "method": "tools/call",
  "params": {
    "arguments": {
      "n": "<n>"
    },
    "name": "hofstadter"
  }
}

Input Schema

Name	Required	Description	Default
`n`	Yes

Schema Changelog

Changes observed during successful MCP inspections.

AddedOct 23, 2026

TDQS

A3.6/5.0

Behavior4/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

Annotations already declare readOnly, idempotent, and non-destructive behavior. The description adds useful context by stating that the tool costs $0.001 USDC per successful call via x402 on Solana and provides an HTTPS endpoint, which is valuable behavioral information not covered by annotations.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness4/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is front-loaded with the core definition and examples, followed by relevant payment and endpoint details. It is efficient, though the inclusion of the full URL could be seen as slightly verbose.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness4/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

For a simple function with one parameter and no output schema, the description provides sufficient context: the mathematical rule, example values, domain, and payment model. Nothing essential for correct invocation is missing.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters4/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema description coverage is 0%, so the description must compensate. It defines the domain of n (0 to 5000) and provides concrete examples (G(0)=0, G(1)=1, G(5)=3, G(10)=6), which clarify the parameter's meaning beyond the schema's type and bounds.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description specifies the Hofstadter G sequence and its recurrence, clearly indicating a computation of G(n). It does not, however, differentiate from sibling tools like hof_g or hofstadter_f, which likely compute related sequences.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

The description gives the definition and examples but provides no guidance on when to use this tool versus alternatives, nor does it mention any exclusions or prerequisites.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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