A090070 Numbers n such that there are (presumably) nine palindromes in the Reverse and Add! trajectory of n.

4, 10, 11, 535, 1000, 1001, 10007, 10101, 20006, 30005, 50003, 60002, 70001, 80000, 80008, 100070, 110060, 120050, 130040, 140030, 150020, 160010, 170000, 170071, 200000, 200002, 1000003, 1000150, 1001001, 1010050, 1100140, 1110040, 1200130

Offset

1,1

Comments

For terms < 5000000 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 2000 steps.

Links

Table of n, a(n) for n=1..33.

Index entries for sequences related to Reverse and Add!

Example

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

Crossrefs

Cf. A023108, A023109, A065001, A070742, A077594.

Sequence in context: A101154 A182943 A310339 * A078005 A370859 A355275

Adjacent sequences: A090067 A090068 A090069 * A090071 A090072 A090073

Keyword

nonn,base

Author

Klaus Brockhaus, Nov 20 2003

Status

approved