%I #13 Nov 02 2022 07:15:42
%S 4,16,128,448,2256,5376,29424,69888,302568,741376,3026448,7216896,
%T 29268352,65785216,263892736,591065568,2279452040,5195776064,
%U 19324558176,44442289024,161417689504,371206519136,1328055630144,3044451252064,10774811055304,24625495784320,86363375773808,197092099990080
%N Sum of square end-to-end displacements over all n-step self-avoiding walks of A358046.
%C See A358046 for further details.
%e a(3) = 128 as, in the first quadrant, the four 3-step SAWs that have the first and last visited lattice point being mutually visible are:
%e .
%e X
%e |
%e X---. . .---X X
%e | | | |
%e X---. X---. X---. X---.---.
%e .
%e The sum of square end-to-end displacements of these four walks is 1 + 5 + 5 + 5 = 16. They can be walked in eight different ways on a square lattice thus a(3) = 16 * 8 = 128.
%Y Cf. A358046, A358084, A001411, A336448.
%K nonn,walk
%O 1,1
%A _Scott R. Shannon_, Oct 30 2022