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A046661 A001411/4. 5
1, 3, 9, 25, 71, 195, 543, 1479, 4067, 11025, 30073, 81233, 220375, 593611, 1604149, 4311333, 11616669, 31164683, 83779155, 224424291, 602201507, 1611140121, 4316653453, 11536599329, 30870338727, 82428196555, 220329372907 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Used as the denominator for the mean square displacement of all different self-avoiding n-step walks in A078797. - Hugo Pfoertner (hugo(AT)pfoertner.org), Dec 09 2002

Number of ways a toy snake with n segments can be bent without flipping the snake upside down. Each segment must perpendicular or parallel with each adjacent segment. A "slither" is a way of writing down the configuration of a snake; starting from the tail, write down which direction the next segment is pointing (R for right, S for straight, L for left). Ex. a snake with 10 segments may have the valid slither RLRRLLRRL, but not RSRRSSLSL.

LINKS

G. T. Barkema and S. Flesia, Two-dimensional oriented self-avoiding walks with parallel contacts, J. Stat. Phys. 85 (1996) no 3/4, 363-381 [a(30) to a(34)]

D. Bennet-Wood, J. L. Cardy, S. Flesia, A. J. Guttmann et al., Oriented self-avoiding walks with orientation-dependent interactions, J. Phys. A: Math. Gen. 28 (1995) no 18, 5143-5163, [up to a(29)]

V. Hart, How to Snakes, Vi Hart Blog (2011)

CROSSREFS

Cf. A001411, A078797.

Sequence in context: A007046 A097861 A058719 * A101197 A101168 A079857

Adjacent sequences:  A046658 A046659 A046660 * A046662 A046663 A046664

KEYWORD

nonn,walk

AUTHOR

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

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Last modified February 18 00:14 EST 2012. Contains 206085 sequences.