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A006776 Number of n-step spirals on hexagonal lattice.
(Formerly M2738)
+0
1
1, 3, 8, 20, 47, 106, 230, 479, 973, 1924, 3712, 7021, 13034, 23780, 42732, 75703, 132360, 228664, 390611, 660296, 1105321, 1833358, 3014694, 4917036, 7958127, 12786252 (list; graph; listen)
OFFSET

1,2

COMMENT

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

REFERENCES

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

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

LINKS

G. Nebe and N. J. A. Sloane, Home page for hexagonal (or triangular) lattice A2

CROSSREFS

Adjacent sequences: A006773 A006774 A006775 this_sequence A006777 A006778 A006779

Sequence in context: A101533 A138803 A048492 this_sequence A050231 A136305 A026712

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 8 20:39 EST 2009. Contains 166234 sequences.


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