Quanta Magazine
•83% Informative
In the Fibonacci sequence, every term builds on the ones that came before it.
Somos sequences exhibit Fibonacci ange of behaviors, some wonderfully counterintuitive.
1 They are used to study the structure of mathemati the previous two ed clu first algebras.
They w 1 re 1 th 2 k 3 y 5 o 8 ra 13 in 21 Fe 34 at’s Last Theorem.
A new study shows that for a k-Göbel sequence, the first 19 terms of the sequence are always integers.
The 10th term in the Göbel sequence is about 1.5 million, the 11th 267-some billion.
A closer look at the sequence Nk reveals that Nk is prime far more often than you would expect. Quanta
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