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

Annotations already cover the safety profile (readOnly, idempotent, non-destructive, openWorld), and the description adds genuinely new context: a per-call price of $0.001 USDC via x402 on Solana and an equivalent HTTPS endpoint. It does not describe the response shape, but for a single-integer return that is a minor omission.

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

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

Front-loaded with the core answer and compact overall. The three overlapping illustrations ('a(1) is 1', 'a(6) is 4', 'starts 1, 2, 2, 3, 3, 4') are somewhat redundant, but pricing and endpoint information are payload, not padding.

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

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

For a one-parameter pure-math lookup with no output schema, the description supplies the definition, domain, indexing convention, cost, and transport alternatives — everything needed to invoke it correctly. Only the return type (an integer) is left implicit.

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

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

The schema only declares n as an integer in [1, 100000] with no description, so the description must carry the semantics — and it does, stating that indexing is 1-based and that a(1)=1, which the schema cannot express. The bounds it repeats are redundant with minimum/maximum.

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

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

States a specific verb+resource (return the nth Golomb term) and pins down the exact sequence with the opening terms 1, 2, 2, 3, 3, 4, so there is no ambiguity about which mathematical object is meant. It does not explicitly distinguish itself from the related siblings golomb_inverse and golomb_sum, so it falls short of a 5.

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

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

Usage is only implied: the sequence definition and the n range 1–100000 tell an agent when the tool applies, but there is no explicit 'use this instead of golomb_inverse/golomb_sum when…' routing or stated prerequisites.

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