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Recurrence / CONCEPT

Hanna's Cubic Substitution Parity Conjecture

The coefficients of OEIS A392525 are odd exactly at powers of two.

Closed Authored exposition
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES11
PROOF DEPTH0
DOCUMENT LINKS0
THEOREM

Frobenius as monomial substitution

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Hanna's Cubic Substitution Parity ConjectureHanna's Cubic SubstitutionParity ConjectureDold Congruences and Formal Exponential IntegralityDold Congruences and FormalExponential IntegralityHanna's Prime Bilateral Integrality ConjectureHanna's Prime BilateralIntegrality ConjectureDyadic parity for Hanna's cubic seriesDyadic parity for Hanna's cubicseriesHanna's A393173 Power-of-Two ParityHanna's A393173 Power-of-TwoParityHanna's A375449 Diagonal Derivative ParityHanna's A375449 DiagonalDerivative ParityHanna's Half-Iterate Conjecture Modulo ThreeHanna's Half-Iterate ConjectureModulo ThreeHanna's Lambert-Cube Congruences Modulo ThreeHanna's Lambert-CubeCongruences Modulo ThreeIntegral solutions for prime substitution exponentsIntegral solutions for primesubstitution exponentsHanna's Square-Composition CongruenceHanna's Square-CompositionCongruencePrime exponents characterize Somos integralityPrime exponents characterizeSomos integralityHanna's Sigma-Product Exponential CongruenceHanna's Sigma-ProductExponential Congruence
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S1
Domain
Recurrence
Node ID
D5/S1/Recurrence/Invariants/CubicFifteenSubstitutionParity
Repository path
D5/S1/Recurrence/Invariants/CubicFifteenSubstitutionParity.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.