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A001409 Number of 2n-step polygons on cubic lattice.
(Formerly M3095 N1254)
+0
1
1, 0, 3, 22, 207, 2412, 31754, 452640, 6840774, 108088232, 1768560270, 29764630632, 512705615350, 9005206632672, 160810554015408, 2912940755956084, 53424552150523386 (list; graph; listen)
OFFSET

0,3

REFERENCES

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

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

G. S. Rushbrooke and J. Eve, High-temperature Ising partition function ... J. Math. Physics 3 (1962) 185-189.

LINKS

N. Clisby, R. Liang and G. Slade Self-avoiding walk enumeration via the lace expansion J. Phys. A: Math. Theor. vol. 40 (2007) p 10973-11017, Table A5.

CROSSREFS

Sequence in context: A121952 A098618 A006783 this_sequence A079489 A141152 A073530

Adjacent sequences: A001406 A001407 A001408 this_sequence A001410 A001411 A001412

KEYWORD

nonn,walk

AUTHOR

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

EXTENSIONS

More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 31 2007

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Last modified December 20 13:54 EST 2009. Contains 171081 sequences.


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