Recurrence

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Contents

• The alternating Catalan recurrence
• Algebraic
• Automatic discrepancy of complementary anti-recurrences
• Bala’s Cubic Three-Adic Congruence
• Fibonacci Power Strong Divisibility
• Bala’s Lucas Five-Adic Congruence
• Barker’s Fibonacci Sum-Product Recurrence
• Bilateral
• Bilateral Fibonacci Lift Classification
• Bilateral Fibonacci Lift Uniqueness
• The Bivariate Admissible-Word Equation
• Tetrahelix Coordinate Generating Functions
• Recurrence Carry Cancellation
• Cassini-Fricke Antiinvariant
• Central-Factorial Parity Identities
• Central factorial transfer coefficients
• The First Schreier-Multiset Recurrence for q = 2
• Golden Limits for the Complementary Kimberling Sequences
• Continued-Fraction Tails and Beatty Rounding
• Convolution Recurrence Odd Exactly at Powers of Two
• Costa–Catarino Bidimensional Fibonacci Matrices
• Crossing-Matrix Determinant Obstruction
• Cyclic Gap Partition
• Cyclic Nearest Returns
• Integral growth in rational cyclic power coordinates
• Alternating Fibonacci Sum
• Vajda’s Fibonacci Identity
• Fibonacci Perfect-Power Sum Obstruction Modulo Sixteen
• Finite Integral Column Normalization
• First-vertex cyclic companion module
• Finite companion defect
• The quarter-turn boundary recurrence
• Finite Fibonacci Sampling Smith Defect
• FloorCounts
• Gallardo–Rahavandrainy’s Binary-Polynomial Collatz Conjecture
• A Quadratic Bound for Binary-Polynomial Collatz Length
• Gibonacci Power-Window GCD Normalization
• Fibonacci Divisibility and Indices
• Golden Fibonacci Partition
• HannaBilateral
• Interpolation
• Invariants
• Affine subsequences of integer k-regular sequences
• Finite interleavings of integer k-regular sequences
• KatzCutoff
• First occurrences in Kimberling’s array
• Golden units for Kimberling row intersections
• Dyadic Divisibility at Lang’s Fibonacci Indices
• The Lerch Recurrence and the Somos Constant
• LinearRows
• Lucas Companion Traces and Dyadic Zeros
• Lucas Descent for Even Moduli
• Even Lucas Periods
• Lucas Vertical Slices
• Marcus’s Tent-Map Cycle Length
• Mathar and Kimberling’s self-convolution recurrence
• Mathar’s recurrence for the central-binomial transform
• Matveeva’s Literal Global Boundedness Claim
• Mendonça’s Min-Plus Configuration Triangle
• MetaFibonacci
• A Counterexample to the Zero-Sum Count Characterization
• Multiplicative-Exclusion Residue Class
• Norm-One Trace and Companion Doubling Identities
• Norm-One Trace Addition and Recurrence
• Odd-index squares in the A113249 family
• OEIS A400644: exact rounded recurrence
• Odd Fiber Pole Certificate
• Parity
• Partitions
• Pell and Companion Pell Gcd
• Greatest Pell indices dividing initial partial sums
• Periodic
• Parity of the Piecewise Convolution Sequence A368628
• Fibonacci Minima Under Bounded Initialization
• Raney
• Residue
• Rotation Orbit Gap Partition
• Schulte’s quadrinomial alternating-binomial expansion
• Order-Five Skolem Modular Exclusion
• SquareRows
• Stephan’s A005590 Zero-Set Characterization
• Stephan’s A054096 Second-Column Conjecture
• SubsetSums
• Sun
• The Per-Axis Trace-Map Recursion
• Turan
• Witt
• Degrees of the Order-Eleven Quasi-Fibonacci Polynomials