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Number of n-step self-avoiding walks on f.c.c. lattice ending at point with x = 0.
(Formerly M3663 N1489)
4

%I M3663 N1489 #27 Dec 19 2021 09:45:09

%S 1,4,36,308,2764,25404,237164,2237948,21286548,203701772,1958748676,

%T 18908954324,183135542956,1778581016076,17314029758828,168891863875652

%N Number of n-step self-avoiding walks on f.c.c. lattice ending at point with x = 0.

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

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

%H J. L. Martin, <a href="http://dx.doi.org/10.1017/S0305004100036240">The exact enumeration of self-avoiding walks on a lattice</a>, Proc. Camb. Phil. Soc., 58 (1962), 92-101.

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

%Y Cf. A000766, A000767, A000768, A001336, A227511.

%K nonn,walk,more

%O 0,2

%A _N. J. A. Sloane_

%E Edited and extended by _Joseph Myers_, Jul 14 2013

%E a(12)-a(15) from _Bert Dobbelaere_, Jan 13 2019