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 A255975 #12 Mar 27 2015 09:01:00 %S A255975 1,3,2,7,5,4,12,10,8,6,19,16,14,11,9,27,24,21,18,15,13,37,33,30,26,23, %T A255975 20,17,49,44,40,36,32,29,25,22,62,57,52,47,43,39,35,31,28,77,71,66,60, %U A255975 55,51,46,42,38,34,93,87,81,75,69,64,59,54,50,45,41,111 %N A255975 Rectangular array T(i,j) read by downwards antidiagonals: an interspersion associated with the fractal sequence A022328. %C A255975 T(i,j) is the position of 2^i in the increasing sequence of the numbers 2^i*3^j, for i >= 0 and j >= 0; or equivalently, in the signature sequence of log(3)/log(2). A255975 is not equal to A051037; e.g., row 1 of A255975 includes 49, unlike A051037. %H A255975 Clark Kimberling, <a href="/A255975/b255975.txt">Antidiagonals n = 1..60, flattened </a> %e A255975 Northwest corner: %e A255975 1 3 7 12 19 27 37 %e A255975 2 5 10 16 24 33 44 %e A255975 4 8 14 21 30 40 52 %e A255975 6 11 18 26 36 47 60 %e A255975 9 15 23 32 43 55 69 %e A255975 13 20 29 39 51 64 79 %e A255975 The fractal sequence A022328 starts with 0, 1, 0, 2, 1, 3, 0, 2, 4, 1, 3, 0, 5, 2, 4, 1, 6, 3, ..., with 0 in positions 1, 3, 7, 12, ... as in row 1 of T; with 1 in positions 2, 5, 10, ... as in row 2; etc. %t A255975 z = 400; t = Sort[Flatten[Table[2^i 3^j, {i, 0, z}, {j, 0, z}]]]; %t A255975 u = Table[IntegerExponent[t[[n]], 2], {n, 1, z}]; %t A255975 v = Table[Flatten[Position[u, n]], {n, 0, 20}]; %t A255975 TableForm[Table[v[[n, k]], {n, 1, 8}, {k, 1, 7}]] (* A255975 array *) %t A255975 Flatten[Table[v[[k, n - k + 1]], {n, 1, 16}, {k, 1, n}]] (* A255975 sequence *) %Y A255975 Cf. A022428. %K A255975 nonn,easy,tabl %O A255975 1,2 %A A255975 _Clark Kimberling_, Mar 19 2015