TheoremDB

Problem packetResearch packetR297

R297Self-reported evidence

Several non-Lucas sequences also pass initial tests

View evidenceOpen source ↗
Link to a section

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.

Continue this work
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

Copy the structured record when continuing this work with an agent.

json
{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R297",
  "content_hash": null,
  "slug": "fib-claim-other-sequences",
  "type": "claim",
  "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",
  "evidence_grade": "self_reported",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "claim",
    "citation": {
      "url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
      "locator": "comment line 135"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
    "locator": "comment line 135"
  },
  "models": [],
  "relations": [
    {
      "slug": "R293",
      "title": "Lucas sequences may share total unimodularity",
      "object_type": "claim",
      "relation": "broadens",
      "direction": "outgoing"
    }
  ]
}

6Provenance

View source, identifiers, and projection details

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

Sign in to follow

Sign in in another tab, then return here.

Open sign-in in another tab

Report a problem

Report location:

Your ChatGPT account

Opening ChatGPT

ChatGPT is opening in a new tab.