A038373 - OEIS

%I #31 Jul 15 2022 06:51:41

%S 1,2,4,10,24,60,146,366,912,2302,5800,14722,37368,95304,243168,622518,

%T 1594622,4094768,10521384,27085436,69768478,179982688,464564220,

%U 1200563864,3104192722,8034256412,20803994184,53915334890,139785953076,362681515714,941361260956,2444866458524,6351963691964

%N Number of n-step self-avoiding paths on quadrant grid starting at quadrant origin.

%H Siqi Wang, <a href="/A038373/b038373.txt">Table of n, a(n) for n = 0..40</a>

%H A. J. Guttmann and G. M. Torrie, <a href="https://doi.org/10.1088/0305-4470/17/18/023">Critical behavior at an edge for the SAW and Ising model</a>, J. Phys. A 17 (1984), 3539-3552. See series coefficients c_{n}^{2} for square lattice with wedge angle Pi/2.

%F a(n) = 2 * A046170(n) for n >= 1. - _Siqi Wang_, Jul 15 2022

%Y Cf. A034010, A001411, A046170.

%K nonn,walk

%O 0,2

%A _David W. Wilson_

%E a(25)-a(32) from _Bert Dobbelaere_, Jan 05 2019