Analytic / CONCEPT
Catalan powers preserve the two sequence classes
Both coefficient signs of Karp and Zhang's Conjecture 4.2.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH10
DOCUMENT LINKS0
Evaluation of the continuation
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
- All-size enumeration of matchings avoiding 132, 213 and 321structural-affinity · Closed
- Catalan Root and Lagrange Coefficient Transformstructural-affinity · Closed
- Coefficientwise log-concavity of both seriesstructural-affinity · Closed
- Enumeration of Nonnesting Permutations Avoiding 1322structural-affinity · Closed
- Hanna's dyadic vanishing conjecture for A271960structural-affinity · Closed
- Hanna's Lagrange parity conjecture for A365574structural-affinity · Closed
- PathCHSNormBCSRemark43ClosedRefutationstructural-affinity · Closed
- PathCHSNormClosedFormstructural-affinity · Closed
- Reciprocal coefficients and Abel reductionstructural-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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