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 A221146 Table read by antidiagonals: (m+n) - (m XOR n). 2
 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 4, 2, 0, 0, 0, 4, 4, 0, 0, 0, 2, 0, 6, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 2, 8, 2, 4, 2, 0, 0, 0, 4, 4, 8, 8, 4, 4, 0, 0, 0, 2, 0, 6, 8, 10, 8, 6, 0, 2, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 2, 4, 2, 0, 10, 12, 10, 0, 2, 4, 2 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Equals twice A004198. This sequence is related to two fractals: the Sierpinski gasket fractal and Peano filigree. For the Sierpinski fractal the procedure is the following: - write the number stored in the position (i,j) as i+j + d, where d stands for difference. The array of the differences is 0 0 0 0 0 2 0 2 0 0 4 4 0 2 4 6 If this matrix is represented by colors we obtain the Sierpinski gasket; coordinates (i,j) contain a pixel with the color i XOR j. If we follow the odd and even numbers of the XOR table we obtain the Peano curve. LINKS EXAMPLE Table begins: 0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0 ... 0   2   0   2   0   2   0   2   0   2   0   2   0   2   0   2 ... 0   0   4   4   0   0   4   4   0   0   4   4   0   0   4   4 ... 0   2   4   6   0   2   4   6   0   2   4   6   0   2   4   6 ... 0   0   0   0   8   8   8   8   0   0   0   0   8   8   8   8 ... 0   2   0   2   8  10   8  10   0   2   0   2   8  10   8  10 ... 0   0   4   4   8   8  12  12   0   0   4   4   8   8  12  12 ... 0   2   4   6   8  10  12  14   0   2   4   6   8  10  12  14 ... 0   0   0   0   0   0   0   0  16  16  16  16  16  16  16  16 ... 0   2   0   2   0   2   0   2  16  18  16  18  16  18  16  18 ... 0   0   4   4   0   0   4   4  16  16  20  20  16  16  20  20 ... 0   2   4   6   0   2   4   6  16  18  20  22  16  18  20  22 ... 0   0   0   0   8   8   8   8  16  16  16  16  24  24  24  24 ... 0   2   0   2   8  10   8  10  16  18  16  18  24  26  24  26 ... 0   0   4   4   8   8  12  12  16  16  20  20  24  24  28  28 ... 0   2   4   6   8  10  12  14  16  18  20  22  24  26  28  30 ... ... CROSSREFS Cf. A003987, A004198. Sequence in context: A082523 A186034 A280843 * A083935 A053201 A028605 Adjacent sequences:  A221143 A221144 A221145 * A221147 A221148 A221149 KEYWORD nonn,tabl AUTHOR BOCUT Adrian Sebastian, Dec 12 2012 EXTENSIONS Edited by N. J. A. Sloane, Jan 03 2013 STATUS approved

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Last modified July 27 15:29 EDT 2021. Contains 346307 sequences. (Running on oeis4.)