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 A347068 #15 Oct 28 2021 06:31:36 %S A347068 2,5,4,7,10,8,10,14,18,14,13,20,26,31,25,15,26,36,46,53,42,18,30,47, %T A347068 63,79,88,71,20,36,55,81,107,132,146,117,23,40,65,96,136,178,219,239, %U A347068 193,26,46,73,112,162,225,294,359,391,315,28,52,84,127,189,269 %N A347068 Rectangular array (T(n,k)), by downward antidiagonals: T(n,k) = position of k in the ordering of {h*r^m, r = 1/(golden ratio), h >= 1, 0 <= m <= n}. %C A347068 Row 1: A001950 (upper Wythoff sequence); %C A347068 row 2: A283234; %C A347068 row 3: A190508; %C A347068 col 1: A020956. %e A347068 Corner: %e A347068 2, 5, 7, 10, 13, 15, 18, 20, 23, ... %e A347068 4, 10, 14, 20, 26, 30, 36, 40, 46, ... %e A347068 8, 18, 26, 36, 47, 55, 65, 73, 84, ... %e A347068 14, 31, 46, 63, 81, 96, 112, 127, 145, ... %e A347068 25, 53, 79, 107, 136, 162, 189, 215, 244, ... %e A347068 42, 88, 132, 178, 225, 269, 314, 358, 405, ... %e A347068 71, 146, 219, 294, 370, 443, 517, 590, 666, ... %e A347068 ... %t A347068 z = 1000; r = N[(-1+Sqrt[5])/2]; %t A347068 s[m_] := Range[z] r^m; t[0] = s[0]; %t A347068 t[n_] := Sort[Union[s[n], t[n - 1]]] %t A347068 row[n_] := Flatten[Table[Position[t[n], N[k]], {k, 1, z}]] %t A347068 TableForm[Table[row[n], {n, 1, 10}]] (* A347068, array *) %t A347068 w[n_, k_] := row[n][[k]]; %t A347068 Table[w[n - k + 1, k], {n, 12}, {k, n, 1, -1}] // Flatten (* A347068, sequence *) %Y A347068 Cf. A001950, A020956, A283234, A190508, A347065, A347066, A347067, A347069. %K A347068 nonn,tabl %O A347068 1,1 %A A347068 _Clark Kimberling_, Sep 02 2021