Using the rule stated below, is there a way I can plant trees on a 2D plane such that there are no trees in the first k diagonals?
122063
Tree-planting problem with pagoda functions (from PROMYS)
105130
sn edges and nice empty nodes styles in forest lead to dividing by zero; what's going on?
22627
How to handle pathfinding on a non-grid/non-node terrain map
44070
Recurrence  for number of regions formed by diagonals of a convex polygon.
44454
Rooted Binary Trees and Catalan Numbers
46469
$n$ Lines in the Plane
85030
TikZ: Symmetric matrix without upper diagonal elements
54631
Distribute $N$ objects to $K$ boxes such that no box has more than $c$ objects in it
130851
Squaring the plane, with consecutive integer squares. And a related arrangement
126192
Connected, locally connected, path-connected but not locally path-connected subspace of the plane
76029
Induction proof: n lines in a plane
157079
Maximal cardinality of a family of pairwise disjoint "figure eights" in the plane
101033
Algorithm for procedureral 2D map with connected paths
89164
When is the graph of the divisor relation on $[n]$ planar?
46855
Minimum number of vectors needed in different planes for their resultant to be zero
57398
Where does TREE(n) sit on the Fast Growing Hierarchy?
141482
Proof that plane with $N$ lines can be painted with two colors so that any two neighboring regions are painted in different colors