Words / CONCEPT
Odd Reduced Abelian Complexity of the Thue-Morse Word
The all-start reduced abelian complexity of the Thue-Morse word obeys the odd-index recurrence and equals three at every power of two plus one.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES5
PROOF DEPTH0
DOCUMENT LINKS0
thueMorse zero
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
None recorded in this release.
Certified topology / DOWNSTREAM
Consequences
- Dyadic Thue-Morse Identitiestruth-dependency · Closed
- Even Reduced Abelian Complexitytruth-dependency · Closed
- Quantified finite-prefix convolution correction and higher-arity evil-odious monotonicitytruth-dependency · Closed
- SequenceCoefficientstruth-dependency · Closed
- Silver-Slope Abelian Periodstruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- CoefficientTableCheckerstructural-affinity · Closed
- Dyadic Thue-Morse Identitiesstructural-affinity · Closed
- Even Reduced Abelian Complexitystructural-affinity · Closed
- Factor Complexity of Irrational Lower Mechanical Wordsstructural-affinity · Closed
- Opposite errors and smaller denominatorsstructural-affinity · Closed
- Pell and Companion Pell Gcdstructural-affinity · Closed
- Quantified finite-prefix convolution correction and higher-arity evil-odious monotonicitystructural-affinity · Closed
- SequenceCoefficientsstructural-affinity · Closed
- Silver Pell arithmetic and convergent periodsstructural-affinity · Closed
- Silver-Slope Abelian Periodsstructural-affinity · Closed
- SixfoldMonotonicitystructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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