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 A339697 #5 Dec 18 2020 04:03:46 %S A339697 0,1,1,2,0,2,2,1,1,2,3,1,0,1,3,4,2,1,1,2,4,4,3,2,0,2,3,4,3,3,3,1,1,3, %T A339697 3,3,4,2,2,2,0,2,2,2,4,5,3,1,2,1,1,2,1,3,5,6,4,2,2,1,0,1,2,2,4,6,6,5, %U A339697 3,3,2,1,1,2,3,3,5,6,6,5,4,4,3,2,0,2,3,4,4,5,6 %N A339697 Square array T(n, k) read by antidiagonals, n >= 0 and k >= 0; let G be the undirected graph with nodes {g_k, k >= 0} such that for any k >= 0, g_k is connected to g_{k+1} and g_{A006068(k)} is connected to g_{A006068(k+1)}; T(n, k) is the distance between g_n and g_k. %H A339697 Dana G. Korssjoen, Biyao Li, Stefan Steinerberger, Raghavendra Tripathi, and Ruimin Zhang, <a href="https://arxiv.org/abs/2012.04625">Finding structure in sequences of real numbers via graph theory: a problem list</a>, arXiv:2012.04625, Dec 08, 2020. %H A339697 Rémy Sigrist, <a href="/A339697/a339697.gp.txt">PARI program for A339697</a> %H A339697 Rémy Sigrist, <a href="/A339697/a339697.png">Colored representation of the table for 0 <= x, y <= 2^10</a> (where the hue is function of T(x, y)) %F A339697 T(n, n) = 0. %F A339697 T(n, k) = T(k, n). %F A339697 T(n, k) <= abs(n-k). %F A339697 T(m, k) <= T(m, n) + T(n, k). %F A339697 T(n, 0) = A339695(n). %e A339697 Array T(n, k) begins: %e A339697 n\k| 0 1 2 3 4 5 6 7 8 9 10 11 12 %e A339697 ---+------------------------------------------ %e A339697 0| 0 1 2 2 3 4 4 3 4 5 6 6 6 %e A339697 1| 1 0 1 1 2 3 3 2 3 4 5 5 5 %e A339697 2| 2 1 0 1 2 3 2 1 2 3 4 4 4 %e A339697 3| 2 1 1 0 1 2 2 2 3 4 5 5 5 %e A339697 4| 3 2 2 1 0 1 1 2 3 4 5 5 4 %e A339697 5| 4 3 3 2 1 0 1 2 3 4 5 4 3 %e A339697 6| 4 3 2 2 1 1 0 1 2 3 4 4 4 %e A339697 7| 3 2 1 2 2 2 1 0 1 2 3 3 3 %e A339697 8| 4 3 2 3 3 3 2 1 0 1 2 2 2 %e A339697 9| 5 4 3 4 4 4 3 2 1 0 1 1 2 %e A339697 10| 6 5 4 5 5 5 4 3 2 1 0 1 2 %e A339697 11| 6 5 4 5 5 4 4 3 2 1 1 0 1 %e A339697 12| 6 5 4 5 4 3 4 3 2 2 2 1 0 %o A339697 (PARI) See Links section. %Y A339697 Cf. A003188, A006068, A339695, A339696. %K A339697 nonn,tabl %O A339697 0,4 %A A339697 _Rémy Sigrist_, Dec 13 2020