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 A347065 #12 Sep 01 2021 07:55:44 %S A347065 1,3,1,4,3,1,6,5,3,1,8,7,5,3,1,9,9,7,5,3,1,11,11,10,7,5,3,1,12,13,12, %T A347065 10,7,5,3,1,14,15,14,12,10,7,5,3,1,16,17,16,15,12,10,7,5,3,1,17,19,19, %U A347065 17,15,12,10,7,5,3,1,19,21,21,20,17,15,12,10,7 %N A347065 Rectangular array (T(n,k)), by antidiagonals: T(n,k) = position of k in the ordering of {h/r^m, r = (1+sqrt(5))/2, h >= 1, 0 <= m <= n}. %e A347065 Corner: %e A347065 1 3 4 6 8 9 11 12 14 16 17 19 21 %e A347065 1 3 5 7 9 11 13 15 17 19 21 23 25 %e A347065 1 3 5 7 10 12 14 16 19 21 23 25 28 %e A347065 1 3 5 7 10 12 15 17 20 22 24 26 29 %e A347065 1 3 5 7 10 12 15 17 20 22 24 27 30 %e A347065 1 3 5 7 10 12 15 17 20 22 24 27 30 %e A347065 1 3 5 7 10 12 15 17 20 22 24 27 30 %t A347065 z = 100; r = N[(1 + Sqrt[5])/2]; %t A347065 s[m_] := Range[z] r^m; t[0] = s[0]; %t A347065 t[n_] := Sort[Union[s[n], t[n - 1]]] %t A347065 row[n_] := Flatten[Table[Position[t[n], N[k]], {k, 1, z}]] %t A347065 TableForm[Table[row[n], {n, 1, 10}]] (* A347065, array *) %t A347065 w[n_, k_] := row[n][[k]]; %t A347065 Table[w[n - k + 1, k], {n, 12}, {k, n, 1, -1}] // Flatten (* A347065, sequence *) %Y A347065 Cf. A000201 (row 1), A005408 (row 2), A190511 (row 3), A020959 (limiting row). %Y A347065 Cf. A347066, A347067, A347068, A347069. %K A347065 nonn,tabl %O A347065 1,2 %A A347065 _Clark Kimberling_, Aug 16 2021