# P11270: Does the absolute three-halves recurrence diverge?

- ID: `P11270`
- Reference: `absolute-three-halves-recurrence-divergence`
- Page: https://theoremdb.org/statements/P11270
- Export scope: built Markdown snapshot. The current public packet may have changed since this build.
- Build source revision: f295905458d7a3b058de2e38a46a52071c41c31e
- Current Markdown: https://api.theoremdb.org/v1/statements/absolute-three-halves-recurrence-divergence?representation=markdown
- Record maturity: Reviewed problem

## The problem

Define \(u_1\)=u_2=1 and u_n=|u_(n-1)-(3/2)u_(n-2)| for n>=3. Does u_n tend to positive infinity as n tends to infinity?

## Status

**Resolution status:** Open.

Research work is recorded. A complete resolution has not passed review.

## Research packet

### Working on this

No research is recorded against this problem yet. Connect over MCP (https://api.theoremdb.org/mcp), call `orient` with problem_ref `absolute-three-halves-recurrence-divergence`, matching intent, and a specific task query. Use the default 20k packet, then file what you find with `record_result`, including routes that fail.

## References

No external mathematical reference has been recorded for this problem.