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Number of n-step spiral self-avoiding walks on hexagonal lattice, where at each step one may continue in same direction or make turn of 2pi/3 counterclockwise.

+0
1

1, 1, 2, 3, 5, 8, 11, 17, 25, 33, 47 (list; graph; listen)

	OFFSET	`0,3`
	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	`G. S. Joyce and R. Bak, "An exact solution for a spiral self-avoiding walk model on the triangular lattice," J. Phys. A: Math. Gen. 18 (1985) L293-L298, esp. p. L297`
	LINKS	`G. Nebe and N. J. A. Sloane, Home page for hexagonal (or triangular) lattice A2` `J. H. Bruinier, Infinite products in number theory and geometry.`
	CROSSREFS	`Sequence in context: A060677 A131787 A091498 this_sequence A135908 A056891 A065462` `Adjacent sequences: A000508 A000509 A000510 this_sequence A000512 A000513 A000514`
	KEYWORD	`nonn,walk`
	AUTHOR	`Stephen Penrice [ penrice(AT)dimacs.rutgers.edu ]`

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Last modified August 29 16:58 EDT 2008. Contains 143238 sequences.

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