A005544 Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (1,1,2).

2, 18, 136, 1030, 7992, 63796, 522474, 4369840, 37179840, 320861342, 2802304988, 24725041598, 220077128644, 1973963065574

Offset: 2

Author

N. J. A. Sloane

Keywords

• nonn
• walk

References

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

Links

• D. S. McKenzie, The end-to-end length distribution of self-avoiding walks, J. Phys. A 6 (1973), 338-352.
• Index entries for sequences related to f.c.c. lattice

Crossrefs

Cf. A003287, A003288, A005543, A005545, A005546, A005547, A005548.

Extensions

More terms and title improved by Sean A. Irvine, Feb 16 2016

a(15) from Bert Dobbelaere, Jan 14 2019