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SKILL verified Apache-2.0 Self-run

Hailstone Sequence

skill-nerdai-llm-agents-from-scratch-hailstone-sequence · by nerdai

Compute the complete Hailstone sequence for a given starting number by repeatedly calling the next_number tool until the value 1 is reached.

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Install

$ agentstack add skill-nerdai-llm-agents-from-scratch-hailstone-sequence

✓ scanned · ✓ verified, works with Claude Code, Cursor, and more.

Security review

✓ Passed

No issues found. Passed automated security review. · v0.1.0 How review works →

  • Prompt-injection patterns
  • Secret / credential exfiltration
  • Dangerous shell & filesystem operations
  • Untrusted network calls
  • Known-malicious package signatures

What it can access

  • Network access No
  • Filesystem access No
  • Shell / process execution No
  • Environment & secrets No
  • Dynamic code execution No

From automated source analysis of v0.1.0. “Used” means the capability is present in the source — more access means more to trust, not that it’s unsafe.

View the full security report →

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Reliability & compatibility

Security review passed
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Declared compatibility

Claude CodeClaude Desktop

Compatibility is declared by the source manifest. End-to-end runtime verification is coming, see below.

Preview Execution monitoring

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About

Hailstone Sequence

Compute the full Hailstone (Collatz) sequence from a starting number down to 1 using the next_number tool.

Arguments

The user must provide a starting number (a positive integer greater than 1).

If no starting number is given, ask the user before proceeding.

Steps

1. Initialize

Set the current number x to the starting number provided by the user.

Begin tracking the sequence as a list: [x].

2. Call the tool

Call next_number with the current value of x.

next_number(x=)

STOP and WAIT for the tool result before continuing.

3. Record the result

Append the returned value to the sequence list.

Set x to the returned value.

4. Check termination

  • If x == 1, proceed to Step 5.
  • Otherwise, go back to Step 2.

Important rules:

  • NEVER fabricate or simulate tool call results.
  • NEVER make multiple tool calls in a single response.
  • ALWAYS wait for the actual tool response before deciding next steps.

5. Report the result

Print the complete sequence from start to finish, for example:

6 → 3 → 10 → 5 → 16 → 8 → 4 → 2 → 1

Also report:

  • Starting number
  • Total steps taken (number of tool calls made)
  • Maximum value reached in the sequence

Source & license

This open-source skill is cataloged on AgentStack and links to its original source — we do not rehost the code.

Install and usage instructions live in the source repository linked above.

Reviews

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Versions

  • v0.1.0 Imported from the upstream source.