

A090071


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


2




OFFSET

1,1


COMMENTS

Additional terms are 20000000, 20000002, 200000000, 200000002, 2000000000, 2000000002, 10000000004, 10000100001, 20000000000, 20000000002, 20000000003, 30000000002, 40000000001, but it is not yet ascertained that they are consecutive.
For all terms given above each palindrome is reached from the preceding one or from the start in at most 35 steps; after the presumably last one no further palindrome is reached in 5000 steps.


LINKS

Table of n, a(n) for n=1..10.
Index entries for sequences related to Reverse and Add!


EXAMPLE

The trajectory of 2 begins 2, 4, 8, 16, 77, 154, 605, 1111, 2222, 4444, 8888, 17776, 85547, 160105, 661166, 1322332, 3654563, 7309126, ...; at 7309126 it joins the (presumably) palindromefree trajectory of A063048(7) = 10577, hence 2, 4, 8, 77, 1111, 2222, 4444, 8888, 661166 and 3654563 are the ten palindromes in the trajectory of 2 and 2 is a term.


CROSSREFS

Cf. A023108, A023109, A065001, A070742, A077594.
Sequence in context: A115893 A323338 A057678 * A247148 A139062 A241861
Adjacent sequences: A090068 A090069 A090070 * A090072 A090073 A090074


KEYWORD

nonn,base


AUTHOR

Klaus Brockhaus, Nov 20 2003


STATUS

approved



