A354706 Diagonal of A354704.

2, 5, 13, 18, 32, 41, 53, 72, 89, 113, 128, 149, 181, 205, 242, 265, 313, 338, 373, 421, 450, 512, 545, 584, 648, 697

Offset: 1

Author

Hugo Pfoertner, Jun 19 2022

Keywords

• nonn
• more

Comments

a(n) is a lower bound for the maximum number of grid points in a square grid covered by an arbitrarily positioned and rotated square of side length n, excluding the trivial case of an axis-parallel unshifted square.

Grid points must be strictly inside the covering square, i.e., grid points on the perimeter of the square are not allowed.

Examples

			For examples see the figures in the linked file.
		

Links

• Hugo Pfoertner, Illustrations of the terms a(1)..a(22).

Crossrefs

Cf. A293330, A354704, A354705, A354707.

Formula

a(n) = A354704(n,n).