Mathematical Curves in Action

?? Discovering the Beauty of Recamán's Sequence ??

In the world of mathematics, some sequences capture the imagination with their unique properties and intriguing patterns. One such sequence is Recamán's sequence, named after the Colombian mathematician Bernardo Recamán Santos.

What Makes Recamán's Sequence Fascinating?

Recamán's sequence is generated by a simple yet captivating algorithm:

1. Start with the first term as 0.
2. For each subsequent term, subtract its position from the previous term if the result is positive and not already in the sequence.
3. If the subtraction condition fails, add the position to the previous term.

This results in a sequence that explores new values in a non-linear and somewhat unpredictable manner, balancing between subtraction and addition to avoid repetition as much as possible.

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