Combinatorics / CONCEPT
FranklinInversion
The number of indecomposable 321- and 1342-avoiders with k inversions is k(k - 1)/2 + 1, refuting the conjectured count k(k + 1)/2 + 1.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH5
DOCUMENT LINKS0
The corrected count
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
- FishburnDefsstructural-affinity · Closed
- FranklinInversionBasicstructural-affinity · Closed
- FranklinInversionClassificationstructural-affinity · Closed
- FranklinInversionDefsstructural-affinity · Closed
- Inversion Sequences and Pattern Avoidancestructural-affinity · Closed
- Occurrence Orders in Doubled Wordsstructural-affinity · Closed
- Order Around a Maximumstructural-affinity · Closed
- Separation at Descentsstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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