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 A292961 #6 Dec 11 2023 10:46:51
%S A292961 1,3,2,6,8,4,9,15,13,5,12,22,25,19,7,17,30,38,35,27,10,20,40,52,54,48,
%T A292961 33,11,24,49,66,74,72,61,41,14,28,58,82,93,98,91,73,46,16,32,67,96,
%U A292961 115,124,122,108,85,55,18,37,78,111,136,151,155,146,129,101
%N A292961 Rectangular array by antidiagonals: T(n,m) = rank of n*(r+m) when all the numbers k*(r+h), where r = -1+(1+sqrt(5))/2, k>=1, h>=0, are jointly ranked.
%C A292961 Every positive integer occurs exactly once, so that as a sequence, this is a permutation of the positive integers.
%H A292961 Clark Kimberling, <a href="/A292961/b292961.txt">Antidiagonals n=1..60, flattened</a>
%F A292961 T(n,m) = Sum_{k=1...[n + m*n/r]} [1 - r + n*(r + m)/k], where r=1/GoldenRatio and [ ]=floor.
%e A292961 Northwest corner:
%e A292961 1 3 6 9 12 17 20
%e A292961 2 8 15 22 30 40 49
%e A292961 4 13 25 38 52 66 82
%e A292961 5 19 35 54 74 93 115
%e A292961 7 27 48 72 98 124 151
%e A292961 10 33 61 91 122 155 190
%e A292961 11 41 73 108 146 187 226
%e A292961 14 46 85 129 172 218 266
%e A292961 The numbers k*(r+h), approximately:
%e A292961 (for k=1): 0.618 1.618 2.618 ...
%e A292961 (for k=2): 1.236 3.236 5.236 ...
%e A292961 (for k=3): 1.854 4.854 7.854 ...
%e A292961 Replacing each k*(r+h) by its rank gives
%e A292961 1 3 6
%e A292961 2 8 15
%e A292961 4 13 25
%t A292961 r = -1+GoldenRatio; z = 12;
%t A292961 t[n_, m_] := Sum[Floor[1 - r + n*(r + m)/k], {k, 1, Floor[n + m*n/r]}];
%t A292961 u = Table[t[n, m], {n, 1, z}, {m, 0, z}]; TableForm[u] (* A292961 array *)
%t A292961 Table[t[n - k + 1, k - 1], {n, 1, z}, {k, n, 1, -1}] // Flatten (* A292961 sequence *)
%Y A292961 Cf. A182801, A292959, A292960.
%K A292961 nonn,easy,tabl
%O A292961 1,2
%A A292961 _Clark Kimberling_, Oct 05 2017