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.

A255975 Rectangular array T(i,j) read by downwards antidiagonals: an interspersion associated with the fractal sequence A022328.

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%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