All Questions

The terms of the sequence A276123, defined by $a_0=a_1=a_2=1$ and $$a_n=\dfrac{(a_{n-1}+1)(a_{n-2}+1)}{a_{n-3}}\;,$$ are all integers (it's easy to prove that for all $n\geq2$, $a_n=\frac{9-3(-1)^n}{2}...

In Chapter 4 (page 23, subsection "Somos sequence update") of his Tracking the Automatic Ant, David Gale discusses three families of recursively defined sequences of numbers, all due to Dana ...