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A240820
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a(n) = length (or lifetime) of the meta-Fibonacci sequence f(k) = k for k <= n; f(k) = f(k-f(k-3)) + f(k-f(k-n)) if that sequence is only defined for finitely many terms, or 0 if that sequence is infinite.
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3
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20, 71, 34, 0, 46, 34, 36, 39, 90, 0, 142, 70, 91, 94, 255, 2004, 306, 525, 259, 454, 304, 1866, 316, 198, 254, 297, 415, 3315, 348, 406, 397, 420, 903, 1226, 408, 589, 1294, 535, 490, 958, 1343, 477, 492, 915, 1378, 1723, 797, 1869, 745, 696, 863, 1070, 560
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OFFSET
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3,1
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COMMENTS
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The term a(6) = 0 is only conjectural.
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REFERENCES
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D. R. Hofstadter, Curious patterns and non-patterns in a family of meta-Fibonacci recursions, Lecture in Doron Zeilberger's Experimental Mathematics Seminar, Rutgers University, April 10 2014.
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LINKS
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D. R. Hofstadter, Curious patterns and non-patterns in a family of meta-Fibonacci recursions, Lecture in Doron Zeilberger's Experimental Mathematics Seminar, Rutgers University, April 10 2014; Part 1, Part 2.
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CROSSREFS
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See A240827 for the sequence for n=6.
A diagonal of the triangle in A240821.
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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