trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Super Catalan numbers from action-graph path tables

For every nonnegative n, the weighted sum of the path-table columns of the recursively constructed action graph equals S(0, n + 1).

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THEOREM

Proof of the weighted column identity

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Super Catalan numbers from action-graph path tablesSuper Catalan numbers fromaction-graph path tables
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Graph/SuperCatalanActionGraphRecurrence
Repository path
D5/S3/Combinatorics/Graph/SuperCatalanActionGraphRecurrence.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.