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A001398 Number of (2n+1)-step self-avoiding walks on diamond lattice ending at point with x = 3.
(Formerly M4546 N1930)
6

%I M4546 N1930 #25 Jan 12 2019 10:30:33

%S 8,56,464,3520,27768,217316,1719616,13633972,108620060,867750412,

%T 6952901716,55838915036,449398552664,3623393504692,29262315259524

%N Number of (2n+1)-step self-avoiding walks on diamond lattice ending at point with x = 3.

%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.

%Y Cf. A001394, A001395, A001396, A001397, A227715, A227716.

%K nonn,walk,more

%O 1,1

%A _N. J. A. Sloane_

%E Edited and extended by _Joseph Myers_, Jul 21 2013

%E a(12)-a(13) from _Sean A. Irvine_, Nov 19 2017

%E a(14)-a(15) from _Bert Dobbelaere_, Jan 12 2019

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Last modified June 4 17:49 EDT 2024. Contains 373102 sequences. (Running on oeis4.)