Omega_struct(n): Structural Arithmetic Complexity Sequence (first 500 terms)
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This dataset introduces the structural arithmetic complexity sequence Ω_struct(n), a novel integer sequence defined as zero for primes and growing with the internal factorization complexity of composite numbers. It is part of the Theory of Universal Evolution framework, linking number theory and structural complexity.The dataset includes the first 500 terms of Ω_struct(n), a Python generator for reproducibility, and a README with definitions and references. This sequence has no direct equivalent in OEIS and represents an original contribution to arithmetic complexity metrics.
本数据集介绍了结构算术复杂度序列Ω_struct(n)——这是一类新型整数序列,对所有质数取值为0,且随合数的内部因式分解复杂度递增。该序列隶属于通用演化理论(Theory of Universal Evolution)框架,联结了数论与结构复杂度研究领域。本数据集包含Ω_struct(n)的前500项、用于保障研究可复现性的Python生成器,以及一份涵盖定义与参考文献的README文档。该序列在在线整数序列百科(On-Line Encyclopedia of Integer Sequences, OEIS)中无直接对应条目,是算术复杂度度量方向的一项原创性贡献。



