A242355 Sum of squared end-to-end distances of all n-step self-avoiding walks on the 4-d cubic lattice.

8, 128, 1416, 13568, 119960, 1009440, 8205656, 65068352, 506193144, 3879735776, 29378067080, 220265711040, 1637726387096, 12091336503584, 88727095777896, 647661676223168, 4705654523841704, 34049855885188128, 245482626441965048, 1764039730476165824

Offset: 1

Author

Hugo Pfoertner, Aug 16 2014

Keywords

• nonn

Links

• Hugo Pfoertner, Table of n, a(n) for n = 1..24 [4th column in Table A6 from Clisby article below]
• N. Clisby, R. Liang and G. Slade Self-avoiding walk enumeration via the lace expansion J. Phys. A: Math. Theor. vol. 40 (2007) p 10973-11017.
• N. Clisby, R. Liang and G. Slade Self-avoiding walk enumeration via the lace expansion. Tables in machine-readable format.
• Hugo Pfoertner, Results for the 4D Self-Trapping Random Walk.

Crossrefs

Cf. A010575 corresponding number of walks, A118313 end-to-end distances for cubic lattice, A078797 end-to-end distances for quadratic lattice, A323856, A323857.