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Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (1,1,2).
(Formerly M2108)
7

%I M2108 #23 Dec 26 2021 21:19:51

%S 2,18,136,1030,7992,63796,522474,4369840,37179840,320861342,

%T 2802304988,24725041598,220077128644,1973963065574

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

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

%H D. S. McKenzie, <a href="http://dx.doi.org/10.1088/0305-4470/6/3/009">The end-to-end length distribution of self-avoiding walks</a>, J. Phys. A 6 (1973), 338-352.

%H <a href="/index/Fa#fcc">Index entries for sequences related to f.c.c. lattice</a>

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

%K nonn,walk

%O 2,1

%A _N. J. A. Sloane_

%E More terms and title improved by _Sean A. Irvine_, Feb 16 2016

%E a(15) from _Bert Dobbelaere_, Jan 14 2019