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A291787
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Trajectory of 45 under repeated application of the map k -> A291784(k).
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8
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45, 48, 56, 60, 80, 88, 92, 94, 95, 96, 112, 120, 160, 176, 184, 188, 190, 216, 252, 324, 378, 486, 567, 594, 738, 876, 1032, 1224, 1488, 1776, 2112, 2624, 2656, 2672, 2680, 2976, 3552, 4224, 5248, 5312, 5344, 5360, 5952, 7104, 8448, 10496, 10624
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OFFSET
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0,1
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COMMENTS
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It may be that every trajectory under iteration of the map k -> A291784(k) which increases indefinitely will eventually merge with this sequence. This is certainly true for the terms 45 through 152 of A291788. - N. J. A. Sloane, Sep 24 2017
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REFERENCES
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Richard K. Guy, Unsolved Problems in Number Theory, 3rd Edition, Springer, 2004. See Section B41, p. 147.
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LINKS
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N. J. A. Sloane, Three (No, 8) Lovely Problems from the OEIS, Experimental Mathematics Seminar, Rutgers University, Oct 05 2017, Part I, Part 2, Slides. (Mentions this sequence)
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FORMULA
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a(n) = 2*a(n-7) for n >= 35, which proves this is unbounded. [Guy, Wall]
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CROSSREFS
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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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