A259804 Guttmann-Torrie series coefficients rho_n*c_{n}^{2} for square lattice, with wedge angle Pi/4.

1, 6, 19, 68, 190, 610, 1618, 4870, 12776, 37270, 97264, 277858, 723856, 2039120, 5309076, 14805780, 38549984, 106693682, 277890081, 764597138, 1992327855, 5456154914, 14224333948, 38806355844, 101220914578, 275278038948, 718383950316, 1948531080114

Offset

1,2

Comments

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

References

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.

Links

Table of n, a(n) for n=1..28.

Crossrefs

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

Sequence in context: A137195 A055916 A266472 * A060579 A183326 A123950

Adjacent sequences: A259801 A259802 A259803 * A259805 A259806 A259807

Keyword

nonn

Author

N. J. A. Sloane, Jul 06 2015

Extensions

a(23)-a(28) from Scott R. Shannon, Sep 26 2021

Status

approved