Recurrence / CONCEPT
Hanna's Cubic Catalan Composition
The coefficients of C(x*C(x)^3) are odd exactly at zero and powers of two.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS1
The Catalan equation
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Absolute Reciprocal Squares and Binary Paritystructural-affinity · Closed
- Absolute Reciprocal-Square Shift Paritystructural-affinity · Closed
- Catalan Composition and Hanna's Parity Conjecturestructural-affinity · Closed
- Catalan Inversion and Hanna's Mod-Four Conjecturestructural-affinity · Closed
- Double Catalan Composition and Powers of Fourstructural-affinity · Closed
- Factorial Product Sum and Catalan Paritystructural-affinity · Closed
- Factorial Square-Exponent Sum Paritystructural-affinity · Closed
- Hanna's modulo 2 and modulo 3 conjectures for OEIS A352700structural-affinity · Closed
- Hanna's Modulo-Six Conjecturestructural-affinity · Closed
- Integral Compositional Square Roots and Hanna's Parity Conjecturestructural-affinity · Closed
- Linear Exponents and the Parity of OEIS A397591structural-affinity · Closed
- Logarithmic-Weight Coefficients Modulo Twostructural-affinity · Closed
- OEIS A397356 Modulo Threestructural-affinity · Closed
- q-Catalan Row Square-Sum Paritystructural-affinity · Closed
- Quadratic Square Reversion Modulo Fourstructural-affinity · Closed
- Square Exponents and the Parity of OEIS A397902structural-affinity · Closed
- The Integer Source and Dyadic Parity of OEIS A397592structural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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