Combinatorics / CONCEPT
From the Recurrence to the Cubic
The Catalan-weighted recurrence implies the cubic equation for the ordinary generating series.
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DIRECT PREREQUISITES0
DIRECT CONSEQUENCES1
PROOF DEPTH0
DOCUMENT LINKS1
The cubic from a Catalan recurrence
RELATIONSHIP ATLAS
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Proof dependencyStructural affinityDocument link
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Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Encoding the Value Gapsstructural-affinity · Closed
- Enumeration of (32; 1 to 3) Avoidersstructural-affinity · Closed
- Reconstructing the Final Cyclestructural-affinity · Closed
- Refined Counts by Final Cyclestructural-affinity · Closed
- The (32; 1 to 3) Avoidance Seriesstructural-affinity · Closed
- The Final-Cycle Bijectionstructural-affinity · Closed
- Uniqueness of the Distinguished Seriesstructural-affinity · Closed
- Value Gaps and Closed Edgesstructural-affinity · Closed
Documents & exposition
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