A005544 Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (1,1,2). (Formerly M2108)

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

Offset

2,1

References

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=2..15.

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.

Sequence in context: A057971 A360132 A073512 * A154636 A362761 A216584

Adjacent sequences: A005541 A005542 A005543 * A005545 A005546 A005547

Keyword

nonn,walk

Author

N. J. A. Sloane

Extensions

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

a(15) from Bert Dobbelaere, Jan 14 2019

Status

approved