Combinatorics / CONCEPT
Permutation squares and the conjectured recurrence
Permutations avoiding 312 and 54321 whose squares avoid 132 define the counting sequence in the Archer-Bourne recurrence conjecture.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH2
DOCUMENT LINKS1
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
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Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- FishburnDefsstructural-affinity · Closed
- FranklinInversionDefsstructural-affinity · Closed
- Inversion Sequences and Pattern Avoidancestructural-affinity · Closed
- Nonnesting Avoidance and Generating Functionsstructural-affinity · Closed
- Occurrence Orders in Doubled Wordsstructural-affinity · Closed
- Order Around a Maximumstructural-affinity · Closed
- Separation at Descentsstructural-affinity · Closed
- The corrected counting recurrencestructural-affinity · Closed
- The first component and the layered tailstructural-affinity · Closed
- Unique Direct-Sum Componentsstructural-affinity · Closed
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