Hello AA. Here's another pattern for c6107, this time looking for the grid shortcut:
I noticed that the Polite Triangle Bases for c6107 = 7 and (n-1) = 35 = 7 * 5.
Is this just a fluke?
For c145, PTB = 1+0=1 and (n-1) = 4 = 1 * 4
"A few more iterations and you have the Grid related short cut!!!"
Let's run a few other c values a bit larger and see if the PTB's are factors of (n-1)