Recurrence / CONCEPT
q-Catalan Row Square-Sum Parity
The square sum of a Carlitz-Riordan q-Catalan row is odd exactly one below a power of two.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS0
Coefficient-extracted row recurrence
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
- Absolute Reciprocal Squares and Binary Paritystructural-affinity · Closed
- Catalan Composition and Hanna's Parity Conjecturestructural-affinity · Closed
- Catalan Inversion and Hanna's Mod-Four Conjecturestructural-affinity · Closed
- Double Catalan Composition and Powers of Fourstructural-affinity · Closed
- Factorial Product Sum and Catalan Paritystructural-affinity · Closed
- Factorial Square-Exponent Sum Paritystructural-affinity · Closed
- Hanna's Cubic Catalan Compositionstructural-affinity · Closed
- Linear Exponents and the Parity of OEIS A397591structural-affinity · Closed
- Quadratic Square Reversion Modulo Fourstructural-affinity · Closed
- Square Exponents and the Parity of OEIS A397902structural-affinity · Closed
- The Integer Source and Dyadic Parity of OEIS A397592structural-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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