trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Equal parity in the first two values

The source permutation count in OEIS A152661 satisfies Mathar's first recurrence at every natural index at least four.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS0
THEOREM

The integer recurrence

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Counting cubic AR-labelingsCounting cubic AR-labelingsEqual parity in the first two valuesEqual parity in the first twovalues
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Certified topology / DOWNSTREAM

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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Permutation/MatharSameParityRecurrence
Repository path
D5/S3/Combinatorics/Permutation/MatharSameParityRecurrence.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.