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Problem packetResearch packetR297

R297Self-reported evidence

Several non-Lucas sequences also pass initial tests

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Authored summary

Powers of 2, powers of 3, and tribonacci numbers were reported to have the same determinant property in tested ranges.

The author reports this result.

Recorded status: reported

Recorded scope: No scope is recorded.

Originating problem: Determinants of the Fibonacci-sum matrix

Authored record and scope
Authored title
Several non-Lucas sequences also pass initial tests
Record type
claim
Stored status
reported
Evidence grade
self_reported

2Authored explanation

These examples broaden the classification problem beyond Lucas recurrences.

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Replay material: source only

3Evidence

Replay package: source only

A verification source is cited. This record has no executable replay attached.

Verification source: mathoverflow.net ↗, comment line 135

4How it connects

Broadens

Machine-readable record

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  "ref": "R297",
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  "slug": "fib-claim-other-sequences",
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  "title": "Several non-Lucas sequences also pass initial tests",
  "summary": "Powers of 2, powers of 3, and tribonacci numbers were reported to have the same determinant property in tested ranges.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, record fib-claim-other-sequences (“Several non-Lucas sequences also pass initial tests”) records a bound, answer, status fact, or structural consequence. The record states: Powers of 2, powers of 3, and tribonacci numbers were reported to have the same determinant property in tested ranges.",
  "relevance_source": "recorded",
  "body": "These examples broaden the classification problem beyond Lucas recurrences.",
  "status": "reported",
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      "url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
      "locator": "comment line 135"
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    "locator": "comment line 135"
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  "models": [],
  "relations": [
    {
      "slug": "R293",
      "title": "Lucas sequences may share total unimodularity",
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6Provenance

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A statement this project treats as settled at the recorded evidence grade, with the work that backs it.

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