A001396 - OEIS

%I M3623 N1471 #27 Dec 23 2021 23:03:48

%S 1,4,28,188,1428,10708,82948,644788,5067404,40016460,317727164,

%T 2532064332,20247784124,162353831796,1304943724900,10510168583516

%N Number of 2n-step self-avoiding walks on diamond 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.

%Y Cf. A001394, A001395, A001397, A001398, A227715, A227716.

%K nonn,walk,more

%O 0,2

%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