A sequence of integers generated by the formula a(n) = λ(2^n - 1), where λ is the Carmichael lambda function. The dataset was created by author Emanuele Pace and is hosted on the Dataverse platform. The specific number of rows and columns is not provided.
Use Cases
- Analyze the growth and properties of the integer sequence a(n) defined by the Carmichael lambda function.
- Investigate the relationship between the Carmichael lambda function λ and Mersenne numbers of the form (2^n - 1).
- Study number-theoretic patterns in the sequence a(n) = λ(2^n - 1) for mathematical research.
Strengths
- Sequence is defined by a specific, well-known number-theoretic function (Carmichael lambda).
- Dataset originates from a named mathematical researcher, Emanuele Pace.
- The formula a(n) = λ(2^n - 1) provides a clear and reproducible generation method.
Limitations
- The total number of sequence terms (rows) is unknown, limiting analysis of long-term behavior.
- No sample data or file format is provided, making initial inspection impossible.
- The dataset consists solely of derived integers, lacking explanatory or contextual metadata.
Provenance
- Source
- Emanuele Pace Dataverse
- Collection Method
- Computationally generated from the formula a(n) = λ(2^n - 1).
- Time Range
- null
- Freshness
- null
- Geography
- null