I've updated the code at https://marxsal.github.io/various/playground.html .

It appears that the algorithm for converting the day number to the calendar 
date was actually wrong, but the real code as encapsulated in the sample 
awk script was correct. SO, after a major re-write, I think it is working 
now.

Keep in mind that the point of this exercise was to use tools available in 
the core and to overcome the limitations of the date format used by the 
core.

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