%I M4119 #28 Dec 26 2021 20:42:10

%S 1,6,18,50,156,508,1724,6018,21440,77632,284706,1055162,3944956,

%T 14858934,56325420,214698578,822373244,3163606784,12217121138,

%U 47343356398,184038696776,717456797490,2804219712064,10986639618642

%N Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (0,2).

%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 D. S. McKenzie, <a href="http://dx.doi.org/10.1088/0305-4470/6/3/009">The end-to-end length distribution of self-avoiding walks</a>, J. Phys. A 6 (1973), 338-352.

%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>

%Y Cf. A001335, A003289, A003291, A005549, A005550, A005551, A005552, A005553.

%K nonn,walk,more

%O 2,2

%A _N. J. A. Sloane_

%E More terms and title improved by _Sean A. Irvine_, Feb 13 2016

%E a(23)-a(25) from _Bert Dobbelaere_, Jan 15 2019