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A001397 Number of 2n-step self-avoiding walks on diamond lattice ending at point with x = 2.
(Formerly M3602 N1461)
6

%I M3602 N1461 #24 Dec 23 2021 23:03:34

%S 4,24,188,1368,10572,81376,637148,5007560,39638728,314980912,

%T 2513038452,20109809792,161359033480,1297640775272,10456351280264

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

%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, A001398, 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(14) from _Sean A. Irvine_, Nov 16 2017

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

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)