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Number of (2n+1)-step self-avoiding walks on diamond lattice ending at point with x = 1.
(Formerly M1973 N0782)
6

%I M1973 N0782 #30 Dec 23 2021 23:04:02

%S 2,10,74,518,3934,29914,232094,1812890,14277886,113016230,898797262,

%T 7173454238,57431351010,460989676450,3708603354110,29893215059758

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

%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, A001396, A001397, A001398, A227715, A227716.

%K nonn,walk,more

%O 0,1

%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 13 2017

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