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

1,1

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.

Links

Table of n, a(n) for n=1..26.

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

Formula

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

Example

For examples see the figures in the linked file.

Crossrefs

Cf. A293330, A354704, A354705, A354707.

Sequence in context: A112634 A303281 A235204 * A348392 A264737 A045364

Adjacent sequences: A354703 A354704 A354705 * A354707 A354708 A354709

Keyword

nonn,more

Author

Hugo Pfoertner, Jun 19 2022

Status

approved