trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Generating Function for the Penultimate Descent

The weight of the penultimate descent has a generating function expressed through final descent weights.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH6
DOCUMENT LINKS1
THEOREM

Weighted penultimate descents

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Factorizations at the Initial Ascent and Final DescentFactorizations at the InitialAscent and Final DescentRun Lengths under Dyck Path ReflectionRun Lengths under Dyck PathReflectionGenerating Function for the Penultimate DescentGenerating Function for thePenultimate DescentEquinumerosity of Inversion Sequences in Class 152Equinumerosity of InversionSequences in Class 152
Proof dependencyStructural affinityDocument link

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
6
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/InversionSeq/InversionSeq152PenultimateSeries
Repository path
D5/S3/Combinatorics/InversionSeq/InversionSeq152PenultimateSeries.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
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.