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A358084 Sum of square end-to-end displacements over all n-step self-avoiding walks of A358036. 1
0, 16, 88, 288, 1104, 3264, 12032, 34144, 115112, 323888, 1043360, 2903280, 9122592, 24993552, 77246888, 209811360, 637734248, 1726546928, 5170075216, 13965402144, 41331646184, 111361083152, 326576770784, 877687158464, 2554653282056, 6850500549888, 19812687702472, 53030550412576 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
See A358036 for further details.
LINKS
EXAMPLE
a(3) = 88 as, in the first quadrant, the three 3-step SAWs that have the first and last visited lattice point being mutually visible are:
.
X
|
X---. . X
| | |
X---. X---. X---.---.
.
The sum of square end-to-end displacements of these three walks is 1 + 5 + 5 = 11. They can be walked in eight different ways on a square lattice thus a(3) = 11 * 8 = 88.
CROSSREFS
Sequence in context: A203249 A022676 A035291 * A309271 A120045 A301794
KEYWORD
nonn,walk
AUTHOR
Scott R. Shannon, Oct 30 2022
STATUS
approved

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Last modified December 8 09:53 EST 2023. Contains 367663 sequences. (Running on oeis4.)