A259802 Guttmann-Torrie series coefficients rho_n*c_{n}^{2} for square lattice, with wedge angle Pi/2.

2, 12, 50, 188, 652, 2140, 6766, 20868, 63118, 188004, 553074, 1610776, 4651784, 13338744, 38014494, 107767964, 304100432, 854624852, 2393093804, 6679440288, 18589013256, 51597951784, 142880148016, 394791197276, 1088674291748, 2996639940048

Offset

1,1

Comments

The sum of squared end-to-end distances of all n-step self-avoiding walks on a 2D square lattice confined to one quadrant of the grid. - Scott R. Shannon, Sep 27 2021

Links

Table of n, a(n) for n=1..26.

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.

Crossrefs

Cf. A038373 (number of SAWs in quadrant grid).

Sequence in context: A003493 A197891 A357782 * A202789 A129743 A115243

Adjacent sequences: A259799 A259800 A259801 * A259803 A259804 A259805

Keyword

nonn

Author

N. J. A. Sloane, Jul 06 2015

Extensions

a(23)-a(26) from Scott R. Shannon, Sep 27 2021

Status

approved