This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A079157 #17 Aug 01 2025 05:30:50
%S A079157 5,50,529,3870,28900,185014,1191698,7080332,42072344,238337862
%N A079157 Sum of square displacements over all self-avoiding walks on cubic lattice trapped after n steps. Numerator of mean square displacement a(n)/A077817(n).
%H A079157 Hugo Pfoertner, <a href="https://www.randomwalk.de/stw3d.html">Results for the 3-dimensional Self-Trapping Random Walk</a>
%F A079157 a(n) = Sum_{l=1..A077817(n)} (i_l^2 + j_l^2 + k_l^2) where (i_l, j_l, k_l) are the end points of all different self-avoiding walks trapped after n steps.
%e A079157 a(12)=50 because the A077817(12)=20 trapped walks stop at 5*(1,1,0)->d^2=2, 5*(2,0,0)->d^2=4, 10*(1,0,1)->d^2=2. So, a(12)=5*2+5*4+10*2=50. See "Enumeration of all self-trapping walks of length 12" at link.
%o A079157 (Fortran) c Program for distance counting available at link.
%Y A079157 Cf. A077817, A078605, A079158 (corresponding Manhattan distance sum).
%K A079157 more,nonn
%O A079157 11,1
%A A079157 _Hugo Pfoertner_, Dec 30 2002
%E A079157 a(15) corrected and a(19)-a(20) from _Sean A. Irvine_, Jul 31 2025