A259804 - OEIS

%I #11 Sep 26 2021 08:12:48

%S 1,6,19,68,190,610,1618,4870,12776,37270,97264,277858,723856,2039120,

%T 5309076,14805780,38549984,106693682,277890081,764597138,1992327855,

%U 5456154914,14224333948,38806355844,101220914578,275278038948,718383950316,1948531080114

%N Guttmann-Torrie series coefficients rho_n*c_{n}^{2} for square lattice, with wedge angle Pi/4.

%C The sum of square end-to-end distance of all n-step self-avoiding walks on a 2D square lattice confined to one octant of the grid. - _Scott R. Shannon_, Sep 26 2021

%D A. J. Guttmann and G. M. Torrie, Critical behavior at an edge for the SAW and Ising model, J. Phys. A 17 (1984), 3539-3552.

%Y Cf. A129700 (number of SAWs in octant grid).

%K nonn

%O 1,2

%A _N. J. A. Sloane_, Jul 06 2015

%E a(23)-a(28) from _Scott R. Shannon_, Sep 26 2021