Combinatorics / CONCEPT
Decorated Objects for the Second Pattern
A lower derangement prefix and a decreasing upper skeleton enumerate avoiders with a prescribed smallest fixed point.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH6
DOCUMENT LINKS1
Length and sum of upper gaps
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Cigler's Even-Strip Expansionsstructural-affinity · Closed
- Counting the First Arrow-Pattern Avoidersstructural-affinity · Closed
- Counting the First Decorated Familystructural-affinity · Closed
- Counting the Second Arrow-Pattern Avoidersstructural-affinity · Closed
- Counting Words by Their Fixed Pointsstructural-affinity · Closed
- Decorated Objects for the First Patternstructural-affinity · Closed
- Finite Sums for the Arrow-Wilf Equivalencestructural-affinity · Closed
- Gap Vectors and Interleaved Wordsstructural-affinity · Closed
- Inverting the Second Decorated Constructionstructural-affinity · Closed
- Partitions by Extremal Fixed Pointsstructural-affinity · Closed
- Recovering First-Pattern Decorated Datastructural-affinity · Closed
- The Arrow-Wilf Equivalencestructural-affinity · Closed
- Uniqueness of the First Decorated Descriptionstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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