

A001409


Number of 2nstep polygons on cubic lattice.
(Formerly M3095 N1254)


1



1, 0, 3, 22, 207, 2412, 31754, 452640, 6840774, 108088232, 1768560270, 29764630632, 512705615350, 9005206632672, 160810554015408, 2912940755956084, 53424552150523386
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OFFSET

0,3


REFERENCES

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).


LINKS

Table of n, a(n) for n=0..16.
N. Clisby, R. Liang, and G. Slade, Selfavoiding walk enumeration via the lace expansion, J. Phys. A: Math. Theor., 40 (2007), pp. 1097311017, Table A5.
G. S. Rushbrooke and J. Eve, Hightemperature Ising partition function and related noncrossing polygons for the simple cubic lattice, J. Math. Physics, 3 (1962), pp. 185189.


CROSSREFS

Cf. A001412.
Sequence in context: A207326 A006783 A330668 * A260154 A079489 A190526
Adjacent sequences: A001406 A001407 A001408 * A001410 A001411 A001412


KEYWORD

nonn,walk,more


AUTHOR

N. J. A. Sloane


EXTENSIONS

More terms from R. J. Mathar, Aug 31 2007


STATUS

approved



