trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

The Knight-Dialler Recurrence

The knight-dialler counts satisfy the conjectured fourth-order recurrence, because the residual of that recurrence on the all-ones vector sits entirely on the one key a knight can never leave, and one further step annihilates it.

Closed Authored exposition
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THEOREM

The recurrence holds

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The Knight-Dialler RecurrenceThe Knight-Dialler Recurrence
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/KnightDiallerRecurrence
Repository path
D5/S3/Combinatorics/KnightDiallerRecurrence.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.