|
Search: id:A055198
|
|
|
| A055198 |
|
Numbers n with property that n cycles to itself after sufficiently many iterations of "reverse digits of (n+4)". |
|
+0
5
|
|
| 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
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
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.
|
|
CROSSREFS
|
Cf. A003608, A016081, A016082, A119031.
Sequence in context: A160714 A094350 A104857 this_sequence A103982 A030488 A163782
Adjacent sequences: A055195 A055196 A055197 this_sequence A055199 A055200 A055201
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Henry Bottomley (se16(AT)btinternet.com), Jun 30 2000
|
|
EXTENSIONS
|
Edited by N. J. A. Sloane, Aug 02 2009
|
|
|
Search completed in 0.002 seconds
|
