Modular Period Structure, Fractal Laws, and Algebraic Universality of the Affine Sequence Tₖ = 6*2ᵏ + 1

Puntos clave

• The aim is to explore the modular period structure and algebraic properties of the affine sequence T_k.
• Utilized 28 modules of OmarwaCore Lean 4 formalization.
• Applied the Core Reduction Theorem P(m).
• Investigated Fractal Period Laws and Product Theorem via CRT.
• Derived the Super-Period L and explored its implications.
• Developed connections between various mathematical functions and structures.
• Identified a total of 956 theorems related to the sequence.
• Demonstrated the GCD Law's role in sequence analysis.
• Established relationships using palindromic involution and bridge constructions.