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A006984 Greatest minimal norm of sublattice of index n in hexagonal lattice.
(Formerly M2298)
3

%I M2298 #25 Sep 19 2023 05:01:22

%S 1,1,3,4,3,4,7,7,9,7,7,12,13,12,13,16,13,13,19,16,21,19,19,21,25,21,

%T 27,28,21,27,31,28,27,28,31,36,37,31,39,37,37,36,43,39,39,39,39,48,49,

%U 43,43

%N Greatest minimal norm of sublattice of index n in hexagonal lattice.

%C The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H Andrey Zabolotskiy, <a href="/A006984/b006984.txt">Table of n, a(n) for n = 1..500</a>

%H M. Bernstein, N. J. A. Sloane and P. E. Wright, On Sublattices of the Hexagonal Lattice, Discrete Math. 170 (1997) 29-39 (<a href="http://neilsloane.com/doc/paul.txt">Abstract</a>, <a href="http://neilsloane.com/doc/paul.pdf">pdf</a>, <a href="http://neilsloane.com/doc/paul.ps">ps</a>).

%H G. Nebe and N. J. A. Sloane, <a href="http://www.math.rwth-aachen.de/~Gabriele.Nebe/LATTICES/A2.html">Home page for hexagonal (or triangular) lattice A2</a>.

%H N. J. A. Sloane, <a href="/A006984/a006984.pdf">Computer printout with notes, Mar. 1994</a>.

%Y Cf. A003051, A003050, A001615.

%K nonn,nice

%O 1,3

%A _N. J. A. Sloane_, _Mira Bernstein_

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