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A006744 Number of n-step self-avoiding walks on Manhattan lattice.
(Formerly M1073)
1
1, 2, 4, 7, 13, 24, 44, 77, 139, 250, 450, 788, 1403, 2498, 4447, 7782, 13769, 24363, 43106, 75396, 132865, 234171, 412731, 721433, 1267901, 2228666, 3917654, 6843596, 12004150, 21059478 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

REFERENCES

S. S. Manna and A. J. Guttmann, Kinetic growth walks..., J. Phys. A 22 (1989), 3113-3122.

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

LINKS

H. Jamke, Table of n, a(n) for n=1..53 [From Herman Jamke (hermanjamke(AT)fastmail.fm), Sep 13 2010]

D. Bennett-wood, J. L. Cardy, I. Enting , A. J. Guttmann and A. L. Owczarek, On the Non-Universality of a Critical Exponent for Self-Avoiding~Walks, Nuc. Phys. B, 528, 533--552, 1998. [From Herman Jamke (hermanjamke(AT)fastmail.fm), Sep 13 2010]

CROSSREFS

Sequence in context: A002843 A128742 A107281 * A054175 A000073 A160254

Adjacent sequences:  A006741 A006742 A006743 * A006745 A006746 A006747

KEYWORD

nonn,walk

AUTHOR

Simon Plouffe (simon.plouffe(AT)gmail.com)

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.