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A006818 Trails of length n on hexagonal lattice.
(Formerly M4203)

%I M4203 #19 Aug 15 2020 08:12:46

%S 1,6,30,150,738,3570,17118,81498,385710,1817046,8528478,39903462,

%T 186198642,866861394,4027766490,18681900270,86518735722,400136695074,

%U 1848320799438,8528448008214

%N Trails of length n on 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 A. J. Guttmann, <a href="http://dx.doi.org/10.1088/0305-4470/18/4/009">Lattice trails II: numerical results</a>, J. Phys. A 22 (1989), 575-588.

%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>

%K nonn,walk,more

%O 0,2

%A _N. J. A. Sloane_.

%E a(17)-a(19) from _Sean A. Irvine_, Aug 15 2020

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Last modified April 20 22:14 EDT 2024. Contains 371848 sequences. (Running on oeis4.)