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Diagonal of A354704.
4

%I #6 Jul 01 2022 10:37:38

%S 2,5,13,18,32,41,53,72,89,113,128,149,181,205,242,265,313,338,373,421,

%T 450,512,545,584,648,697

%N Diagonal of A354704.

%C 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.

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

%H Hugo Pfoertner, <a href="/A354706/a354706.pdf">Illustrations of the terms a(1)..a(22)</a>.

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

%e For examples see the figures in the linked file.

%Y Cf. A293330, A354704, A354705, A354707.

%K nonn,more

%O 1,1

%A _Hugo Pfoertner_, Jun 19 2022