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A259804
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Guttmann-Torrie series coefficients rho_n*c_{n}^{2} for square lattice, with wedge angle Pi/4.
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0
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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
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OFFSET
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1,2
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COMMENTS
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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
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REFERENCES
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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.
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LINKS
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CROSSREFS
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Cf. A129700 (number of SAWs in octant grid).
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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