Longest induced paths (with one end in the lower left corner) for 3 <= n <= 7:
. X X . X X . . X X . X . X X . X . . . . X . X X
X X . X X . . . X . X X X X . X X . X X . X X . X
X . . X . X . X X . X . X . X X . X . X X . X X .
X . X . X . X X . . X X . X X X . X X . X X
X . X . . X X . . X . X X . X . . .
X . X . X . . X . X . X X
X X . X . X .
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