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A046171 Number of inequivalent self-avoiding walks of length n on a 2-D lattice which start at origin, take first step in {+1,0} direction and if any steps are vertical, a step up is taken before a step down. 2

%I #14 Mar 09 2023 17:17:16

%S 1,2,5,13,36,98,272,740,2034,5513,15037,40617,110188,296806,802075,

%T 2155667,5808335,15582342,41889578,112212146,301100754,805570061,

%U 2158326727,5768299665,15435169364,41214098278,110164686454

%N Number of inequivalent self-avoiding walks of length n on a 2-D lattice which start at origin, take first step in {+1,0} direction and if any steps are vertical, a step up is taken before a step down.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Self-AvoidingWalk.html">Self-Avoiding Walk.</a>

%F a(n) = (A001411(n)+4)/8.

%Y Cf. A001411, A046170.

%K nonn,walk,easy,nice

%O 1,2

%A _Eric W. Weisstein_

%E More terms from _Stephen A. Silver_

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Last modified April 19 11:14 EDT 2024. Contains 371791 sequences. (Running on oeis4.)