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A291787 Trajectory of 45 under repeated application of the map k -> A291784(k). 8
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

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

REFERENCES

Richard K. Guy, Unsolved Problems in Number Theory, 3rd Edition, Springer, 2004. See Section B41, p. 147.

LINKS

N. J. A. Sloane, Table of n, a(n) for n = 0..10000

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)

C. R. Wall, Unbounded sequences of Euler-Dedekind means, Amer. Math. Monthly, 92 (1985), 587.

FORMULA

a(n) = 2*a(n-7) for n >= 35, which proves this is unbounded. [Guy, Wall]

CROSSREFS

Cf. A000010, A001615, A291784, A291785, A291786, A291788.

Sequence in context: A183983 A116334 A291788 * A257410 A306103 A045566

Adjacent sequences:  A291784 A291785 A291786 * A291788 A291789 A291790

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Sep 02 2017

EXTENSIONS

More terms from Hugo Pfoertner, Sep 03 2017

STATUS

approved

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Last modified March 4 07:25 EST 2021. Contains 341781 sequences. (Running on oeis4.)