OFFSET
2,1
COMMENTS
Examples show that a(7) >= 462, a(8) >= 842, a(9) >= 1424, a(10) >= 2242.
Asymptotics: liminf a(n)/n^4 >= 8/27, limsup a(n)/n^4 <= 2/3.
LINKS
Oliver Mantas Ališauskas, Grid connector, Web application for this problem.
Oliver Mantas Ališauskas, Giedrius Alkauskas, and Valdas Dičiūnas, Full Grid Lattice Polygons with Maximal Sum of Squares of Edge-Lengths, arXiv:2311.03011 [math.CO], 2023-2024.
S. Chow, A. Gafni, and P. Gafni, Connecting the dots: maximal polygons on a square grid, Math. Mag. 94 (2021), no. 2, 118-124.
G. L. Cohen and E. Tonkes, Dartboard arrangements, Elect. J. Combin., 8(2) (2001), #R4.
CROSSREFS
KEYWORD
nonn,hard,more
AUTHOR
Giedrius Alkauskas, Nov 04 2022
EXTENSIONS
a(5) from Giedrius Alkauskas, Oct 09 2023
a(6) from Giedrius Alkauskas, Nov 30 2023
STATUS
approved