

A055198


Numbers n with property that n cycles to itself after sufficiently many iterations of "reverse decimal digits of (n+4)".


4



1, 2, 5, 6, 9, 13, 16, 24, 27, 31, 35, 38, 53, 57, 68, 71, 75, 79, 82, 93, 97, 101, 122, 137, 141, 177, 181, 217, 304, 319, 323, 359, 363, 399, 501, 505, 526, 541, 545, 581, 585, 621, 708, 723, 727, 763, 767, 803, 905, 909, 945, 949, 985, 989
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OFFSET

1,2


COMMENTS

Sequence is probably finite and the list of 54 integers shown is probably complete (all integers <= 10000 eventually iterate to a cycle based on these 54, although for example 111 takes 2635 iterations to do so via a maximum of 99889)
An equivalent conjecture is that all numbers converge to the trajectory of 1 shown in A119031.  N. J. A. Sloane, Aug 02 2009.


REFERENCES

J. Roberts, Lure of the Integers, Math. Assoc. America, 1992, p. 15.


LINKS

Table of n, a(n) for n=1..54.


CROSSREFS

Cf. A003608, A016081, A016082, A119031.
Sequence in context: A094350 A104857 A285899 * A103982 A030488 A190678
Adjacent sequences: A055195 A055196 A055197 * A055199 A055200 A055201


KEYWORD

nonn,base


AUTHOR

Henry Bottomley, Jun 30 2000


EXTENSIONS

Edited by N. J. A. Sloane, Aug 02 2009
Edited by Charles R Greathouse IV, Aug 04 2010


STATUS

approved



