The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 Table of n, a(n) for n=1..28. 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 Cf. A358036, A358083, A001411, A336448. Sequence in context: A203249 A022676 A035291 * A309271 A120045 A301794 Adjacent sequences: A358081 A358082 A358083 * A358085 A358086 A358087 KEYWORD nonn,walk AUTHOR Scott R. Shannon, Oct 30 2022 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

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