

A090066


Numbers n such that there are (presumably) five palindromes in the Reverse and Add! trajectory of n.


0



14, 15, 23, 24, 32, 41, 42, 50, 51, 55, 60, 66, 79, 97, 105, 106, 107, 119, 120, 123, 129, 130, 131, 140, 141, 152, 159, 161, 171, 176, 179, 181, 184, 185, 199, 204, 205, 206, 218, 228, 251, 258, 269, 275, 278, 283, 284, 290, 298, 304, 305, 317, 319, 321, 327
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


COMMENTS

For terms < 2000 each palindrome is reached from the preceding one or from the start in at most 24 steps; after the presumably last one no further palindrome is reached in 2000 steps.


LINKS

Table of n, a(n) for n=1..55.
Index entries for sequences related to Reverse and Add!


EXAMPLE

The trajectory of 106 begins 106, 707, 1414, 5555, 11110, 12221, 24442, 48884, 97768, ...; at 97768 it joins the (presumably) palindromefree trajectory of A063048(3) = 1997, hence 707, 5555, 12221, 24442 and 48884 are the five palindromes in the trajectory of 106 and 106 is a term.


CROSSREFS

Cf. A023108, A023109, A065001, A070742, A077594.
Sequence in context: A047821 A195238 A085816 * A084429 A207036 A087430
Adjacent sequences: A090063 A090064 A090065 * A090067 A090068 A090069


KEYWORD

nonn,base


AUTHOR

Klaus Brockhaus, Nov 20 2003


STATUS

approved



