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 A120873 Fractal sequence of the Wythoff difference array (A080164). 0
 1, 1, 2, 3, 1, 4, 2, 5, 6, 3, 7, 8, 1, 9, 4, 10, 11, 2, 12, 5, 13, 14, 6, 15, 16, 3, 17, 7, 18, 19, 8, 20, 21, 1, 22, 9, 23, 24, 4, 25, 10, 26, 27, 11, 28, 29, 2, 30, 12, 31, 32, 5, 33, 13, 34, 35, 14, 36, 37, 6, 38, 15, 39, 40, 16, 41, 42, 3, 43, 17, 44, 45, 7, 46, 18, 47, 48, 19, 49 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS A fractal sequence f contains itself as a proper subsequence; e.g., if you delete the first occurrence of each positive integer, the remaining sequence is f; thus f properly contains itself infinitely many times. REFERENCES Clark Kimberling, The Wythoff difference array, in Applications of Fibonacci Numbers, vol.10, Proceedings of the Eleventh International Conference on Fibonacci Numbers and Their Applications, William Webb, editor, Congressus Numerantium, Winnipeg, Manitoba 194 (2009) 153-158. LINKS N. J. A. Sloane, Classic Sequences. EXAMPLE The fractal sequence f(n) of a dispersion D={d(g,h,)} is defined as follows. For each positive integer n there is a unique (g,h) such that n=d(g,h) and f(n)=g. So f(7)=2 because the row of the WDA in which 7 occurs is row 2. CROSSREFS Cf. A080164. Sequence in context: A023131 A026276 A152201 * A125161 A125933 A011857 Adjacent sequences:  A120870 A120871 A120872 * A120874 A120875 A120876 KEYWORD nonn AUTHOR Clark Kimberling, Jul 10 2006 STATUS approved

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