Recurrence / CONCEPT
Catalan Composition and Hanna's Parity Conjecture
The normalized solution of OEIS A374570 has odd coefficients above degree one exactly at powers of two plus one.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES14
PROOF DEPTH0
DOCUMENT LINKS0
Constant coefficient of the integral Catalan series
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
- Absolute Reciprocal Squares and Binary Paritytruth-dependency · Closed
- Catalan Inversion and Hanna's Mod-Four Conjecturetruth-dependency · Closed
- Double Catalan Composition and Powers of Fourtruth-dependency · Closed
- Exponential Square Weights and Catalan Paritytruth-dependency · Closed
- Factorial Product Sum and Catalan Paritytruth-dependency · Closed
- Hanna's Cubic Catalan Compositiontruth-dependency · Closed
- Hanna's modulo 2 and modulo 3 conjectures for OEIS A352700truth-dependency · Closed
- Integral Compositional Square Roots and Hanna's Parity Conjecturetruth-dependency · Closed
- Linear Exponents and the Parity of OEIS A397591truth-dependency · Closed
- Logarithmic-Weight Coefficients Modulo Twotruth-dependency · Closed
- q-Catalan Row Square-Sum Paritytruth-dependency · Closed
- Quadratic Square Reversion Modulo Fourtruth-dependency · Closed
- Reciprocal Square-Exponent Diagonals and Catalan Paritytruth-dependency · Closed
- Square Exponents and the Parity of OEIS A397902truth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- Absolute Reciprocal Squares and Binary Paritystructural-affinity · Closed
- Alternating Coefficients from a Pole at Minus Onestructural-affinity · Closed
- Catalan Inversion and Hanna's Mod-Four Conjecturestructural-affinity · Closed
- Double Catalan Composition and Powers of Fourstructural-affinity · Closed
- Dyadic Denominators of OEIS A381670structural-affinity · Closed
- Exponential Square Weights and Catalan Paritystructural-affinity · Closed
- Factorial Product Sum and Catalan Paritystructural-affinity · Closed
- Hanna's Cubic Catalan Compositionstructural-affinity · Closed
- Hanna's modulo 2 and modulo 3 conjectures for OEIS A352700structural-affinity · Closed
- Integral Compositional Square Roots and Hanna's Parity Conjecturestructural-affinity · Closed
- Linear Exponents and the Parity of OEIS A397591structural-affinity · Closed
- Logarithmic-Weight Coefficients Modulo Threestructural-affinity · Closed
- Logarithmic-Weight Coefficients Modulo Twostructural-affinity · Closed
- q-Catalan Row Square-Sum Paritystructural-affinity · Closed
- Quadratic Square Reversion Modulo Fourstructural-affinity · Closed
- Reciprocal Square-Exponent Diagonals and Catalan Paritystructural-affinity · Closed
- Square Exponents and the Parity of OEIS A397902structural-affinity · Closed
- Strip-Three Ternary Catalan Paritystructural-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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