A288249 2 * largest possible area of a simple n-sided lattice polygon whose vertex coordinates x and y are both independent permutations of the integers 1 ... n, subject to the condition that none of its edges are mutually parallel.

3, 8, 18, 28, 44, 65, 88, 118, 151, 189, 226, 272, 323, 377, 433, 493, 558, 627, 701, 778, 860, 945, 1034, 1127, 1224, 1325

Offset: 3

Author

Hugo Pfoertner, Jun 07 2017

Keywords

• nonn
• more

Comments

It is conjectured that a(n) = 2*n^2 - 9*(n-1) for all n>22.

References

• For references and links see A288247.

Crossrefs

Cf. A288247, A288250.