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 A347067 #6 Oct 22 2021 13:15:00 %S A347067 2,4,4,7,8,6,9,13,13,10,12,17,21,21,15,14,21,28,33,32,19,16,22,34,44, %T A347067 49,40,25,19,26,35,54,66,61,51,41,21,30,41,55,82,82,78,83,63,24,35,48, %U A347067 65,83,102,105,126,128,95,26,38,56,76,98,103,130,169,193 %N A347067 Rectangular array (T(n,k)), by antidiagonals: T(n,k) = position of k in the ordering of {h/r^m, r = 1/sqrt(2), h >= 1, 0 <= m <= n}. %e A347067 Corner: %e A347067 2, 4, 7, 9, 12, 14, 16, 19, 21, ... %e A347067 4, 8, 13, 17, 21, 22, 26, 30, 35, ... %e A347067 6, 13, 21, 28, 34, 35, 41, 48, 56, ... %e A347067 10, 21, 33, 44, 54, 55, 65, 76, 88, ... %e A347067 15, 32, 49, 66, 82, 83, 98, 115, 133, ... %e A347067 19, 40, 61, 82, 102, 103, 122, 143, 165, ... %e A347067 25, 51, 78, 105, 130, 131, 156, 183, 210, ... %e A347067 41, 83, 126, 169, 210, 211, 252, 283, 310, ... %e A347067 ... %t A347067 z = 100; r = N[1/Sqrt[2]]; %t A347067 s[m_] := Range[z] r^m; t[0] = s[0]; %t A347067 t[n_] := Sort[Union[s[n], t[n - 1]]] %t A347067 row[n_] := Flatten[Table[Position[t[n], N[k]], {k, 1, z}]] %t A347067 TableForm[Table[row[n], {n, 1, 10}]] (* A347067, array *) %t A347067 w[n_, k_] := row[n][[k]]; %t A347067 Table[w[n - k + 1, k], {n, 12}, {k, n, 1, -1}] // Flatten (* A347067, sequence *) %Y A347067 Cf. A003151 (row 1), A347065, A347066, A347068, A347069. %K A347067 nonn,tabl %O A347067 1,1 %A A347067 _Clark Kimberling_, Sep 02 2021