OFFSET
0,2
COMMENTS
Maximum number of equilateral triangles with unit side, possibly cut into pieces, that can fit into a square of side n without overlapping.
The area of an equilateral triangle with unit side is sqrt(3)/4 (A120011), which gives the number a(n) of such triangles in a square of side n as at most floor(n^2/(sqrt(3)/4)).
FORMULA
a(n) = floor(4*n^2/sqrt(3)).
EXAMPLE
At most 9 unit equilateral triangles can fit into a square of side 2, so a(2) = 9.
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
A. Timothy Royappa, Jun 17 2024
STATUS
approved