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

1,1

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) 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.

Crossrefs

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

Sequence in context: A115893 A323338 A057678 * A319898 A325957 A247148

Adjacent sequences: A090068 A090069 A090070 * A090072 A090073 A090074

Keyword

nonn,base

Author

Klaus Brockhaus, Nov 20 2003

Status

approved