Is it possible to mathematically deduce the next element (to the right) in the following series? It continues in the same pattern to the left ($n-1$ copies of the positive integer $n$ on the left).
$ \ldots, 7,6,6,6,6,6,5,5,5,5,4,4,4,3,3,2,?$
Is there a most natural continuation (analytical or smooth or nice) possibly of several or infinite elements?