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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. 2

%I #6 Jun 09 2017 23:12:23

%S 3,8,18,28,44,65,88,118,151,189,226,272,323,377,433,493,558,627,701,

%T 778,860,945,1034,1127,1224,1325

%N 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.

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

%D For references and links see A288247.

%Y Cf. A288247, A288250.

%K nonn,more

%O 3,1

%A _Hugo Pfoertner_, Jun 07 2017

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Last modified March 28 04:13 EDT 2024. Contains 371235 sequences. (Running on oeis4.)