A090071 Numbers n such that there are (presumably) ten palindromes in the Reverse and Add! trajectory of n.

2, 5, 10003, 30001, 40000, 40004, 100000, 100001, 2000000, 2000002

Offset: 1

Author

Klaus Brockhaus, Nov 20 2003

Keywords

• nonn
• base

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.

Examples

			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) palindrome-free 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.
		

Links

• Index entries for sequences related to Reverse and Add!

Crossrefs

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