trureturingGitHub MATHEMATICAL ATLAS

Recurrence / CONCEPT

Hanna's A393173 Power-of-Two Parity

The normalized inverse-diagonal equation has integral coefficients, odd exactly at powers of two in positive degrees.

Closed Authored exposition
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES0
PROOF DEPTH2
DOCUMENT LINKS0
THEOREM

The A393173 parity theorem

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Direct recorded relationships
Hanna's Cubic Substitution Parity ConjectureHanna's Cubic SubstitutionParity ConjectureNormalized coefficient contractionsNormalized coefficientcontractionsUnit Reversion and Square ParityUnit Reversion and SquareParityQuotient Theta Composition Modulo FourQuotient Theta CompositionModulo FourHanna's A393173 Power-of-Two ParityHanna's A393173 Power-of-TwoParity
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S1
Domain
Recurrence
Node ID
D5/S1/Recurrence/Invariants/HannaA393173PowerTwoParity
Repository path
D5/S1/Recurrence/Invariants/HannaA393173PowerTwoParity.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.