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 A292957 #4 Oct 05 2017 21:28:45
%S A292957 1,2,3,4,7,6,5,11,13,10,8,16,21,20,14,9,22,30,32,27,18,12,26,38,44,42,
%T A292957 36,24,15,33,49,58,61,55,46,29,17,40,59,72,78,77,69,54,34,19,47,70,87,
%U A292957 98,100,95,84,64,39,23,52,80,103,117,124,123,113,97,73
%N A292957 Rectangular array by antidiagonals: T(n,m) = rank of n*(r+m) when all the numbers k*(r+h), where r = sqrt(3), k>=1, h>=0, are jointly ranked.
%C A292957 This is the transpose of the array at A182847. Every positive integer occurs exactly once, so that as a sequence, this is a permutation of the positive integers.
%H A292957 Clark Kimberling, <a href="/A292957/b292957.txt">Antidiagonals n=1..60, flattened</a>
%F A292957 T(n,m) = Sum_{k=1...[n + m*n/r]} [1 - r + n*(r + m)/k], where r=sqrt(3) and [ ]=floor.
%e A292957 Northwest corner:
%e A292957 1 2 4 5 8 9 12 15
%e A292957 3 7 11 16 22 26 33 40
%e A292957 6 13 21 30 38 49 59 70
%e A292957 10 20 32 44 58 72 87 103
%e A292957 14 27 42 61 78 98 117 137
%e A292957 18 36 55 77 100 124 147 175
%e A292957 24 46 69 95 123 152 183 212
%e A292957 The numbers k*(r+h), approximately:
%e A292957 (for k=1): 1.732 2.732 3.732 ...
%e A292957 (for k=2): 3.464 5.464 7.464 ...
%e A292957 (for k=3): 5.196 8.196 12.296 ...
%e A292957 Replacing each by its rank gives
%e A292957 1 2 4
%e A292957 3 7 11
%e A292957 6 13 21
%t A292957 r = Sqrt[3]; z = 12;
%t A292957 t[n_, m_] := Sum[Floor[1 - r + n*(r + m)/k], {k, 1, Floor[n + m*n/r]}];
%t A292957 u = Table[t[n, m], {n, 1, z}, {m, 0, z}]; TableForm[u] (* A292957 array *)
%t A292957 Table[t[n - k + 1, k - 1], {n, 1, z}, {k, n, 1, -1}] // Flatten (* A292957 sequence *)
%Y A292957 Cf. A182801, A182847.
%K A292957 nonn,easy,tabl
%O A292957 1,2
%A A292957 _Clark Kimberling_, Oct 05 2017