trureturingGitHub MATHEMATICAL ATLAS

Recurrence / CONCEPT

Reciprocal Square-Exponent Diagonals and Catalan Parity

The coefficients of OEIS A397356 are odd exactly when their index plus one is a power of two.

Closed Authored exposition
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES1
PROOF DEPTH4
DOCUMENT LINKS0
THEOREM

The binary Catalan diagonal

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Direct recorded relationships
Catalan Composition and Hanna's Parity ConjectureCatalan Composition and Hanna'sParity ConjectureStrip-Three Ternary Catalan ParityStrip-Three Ternary CatalanParityDiagonal Power Ratios and Odd CoefficientsDiagonal Power Ratios and OddCoefficientsQuadratic Power Diagonals and Fibbinary ParityQuadratic Power Diagonals andFibbinary ParityReciprocal Square-Exponent Diagonals and Catalan ParityReciprocal Square-ExponentDiagonals and Catalan ParityOEIS A397356 Modulo ThreeOEIS A397356 Modulo Three
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
4
Layer
D5/S1
Domain
Recurrence
Node ID
D5/S1/Recurrence/Residue/ReciprocalSquareExponentDiagonalParity
Repository path
D5/S1/Recurrence/Residue/ReciprocalSquareExponentDiagonalParity.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.