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A240810
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a(n) = index of first nonexisting term of the meta-Fibonacci sequence {f(1) = ... = f(n) = 1; f(k)=f(k-f(k-1))+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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7, 0, 165, 0, 61, 2355, 283, 1337, 101, 1255, 367, 420, 499, 484, 779, 1205, 293, 374, 846, 839, 1119, 2121, 816, 2617, 687, 1196, 746, 1113, 2133, 1589, 755, 1228, 1280, 1662, 717, 2276, 785, 2342, 1875, 1464, 1123, 2801, 1351, 1614, 2280, 1558, 1533
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OFFSET
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1,1
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COMMENTS
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a(2)=0 is only a conjecture (see A005185), whereas a(4)=0 is a theorem of Balamohan et al. (2007).
Except for the two zero entries, this is equal to A134680(n)+1. See that entry for further information.
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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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A diagonal of the triangle in A240816.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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