Side question. I think I have never seen this sequence after my father posed the problem to me decennia ago. So apart from the solution, I would like to know if someone has seen it before.
Note: Below the problems in its hardest, somewhat hidden form.
The challenge, for good old times:
Find the next entry in this sequence starting with 1:
111211211111221312211131122211113213211
Some little help:
The start of the sequence starting with 4 for some additional data to analyse:
414111431141321141113122114311311222114