On variants of Conway and Conolly's Meta-Fibonacci recursions

Abraham Isgur, Mustazee Rahman

We study the recursions $A(n)=A(n-a-A^k(n-b))+A(A^k(n-b))$ where $a\ge 0$, $b\ge 1$ are integers and the superscript $k$ denotes a $k$-fold composition, and also the recurs…