Using Wolfram-Cloud/Mathematica to explore the Perfect Shuffle Problem
In this video we use Mathematica/Wolfram-Cloud to look at a sequence of numbers derived from the scenario of performing a "perfect shuffle" on a list representing a deck of card. A number of such shuffles returns the deck to its original order. We plot the sequence (https://oeis.org/A002326) using ListPlot. Many of the (x, y) pairs seemed to fall on lines with "simple" rational slopes. We use Mathematica's Select method to pull out the points on the various lines.
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More Database Introduction: Database Categories and Codd's Rules for Relational Databases
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Finding More Patterns in the Perfect-Shuffle (Riffle) Integer Sequence with Wolfram-Cloud