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A006777 Number of n-step spirals on hexagonal lattice.
(Formerly M1098)
+0
1
1, 2, 4, 8, 14, 26, 43, 74, 120, 197, 311, 495, 768, 1189, 1811, 2748, 4116, 6136, 9058, 13299, 19370, 28069, 40399, 57856, 82374, 116736, 164574, 231007, 322749, 449089 (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

Sequence in context: A164149 A164148 A065492 this_sequence A036609 A027557 A120545

Adjacent sequences: A006774 A006775 A006776 this_sequence A006778 A006779 A006780

KEYWORD

nonn

AUTHOR

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

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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