cp's OEIS Frontend

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.

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}.

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%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