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Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (2,2,2).
(Formerly M4277)
7

%I M4277 #24 Dec 26 2021 21:20:08

%S 6,72,690,6192,53946,466800,4053816,35450940,312411672,2773863060,

%T 24802293720,223203954264,2020552369164

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

%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, A005544, A005545, A005546, A005547.

%K nonn,walk

%O 3,1

%A _N. J. A. Sloane_

%E More terms and title improved by _Sean A. Irvine_, Feb 17 2016

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