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

1,1

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.

Sequence in context: A301998 A105094 A208711 * A305519 A316956 A036294

Adjacent sequences: A242352 A242353 A242354 * A242356 A242357 A242358

Keyword

nonn

Author

Hugo Pfoertner, Aug 16 2014

Status

approved