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A006778 Number of n-step spirals on hexagonal lattice.
(Formerly M2652)
0

%I M2652

%S 1,3,7,15,31,59,110,198,347,592,997,1641,2666,4266,6741,10525,16268,

%T 24882,37717,56683,84504,125031,183716,268125,388873,560647,803723,

%U 1146013,1625731

%N Number of n-step spirals 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).

%D G. Szekeres and A. J. Guttmann, Spiral self-avoiding walks on the triangular lattice, J. Phys. A 20 (1987), 481-493.

%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,more

%O 1,2

%A _N. J. A. Sloane_.

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Last modified August 12 05:33 EDT 2020. Contains 336438 sequences. (Running on oeis4.)