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A090071 Numbers n such that there are (presumably) ten palindromes in the Reverse and Add! trajectory of n. 2
2, 5, 10003, 30001, 40000, 40004, 100000, 100001, 2000000, 2000002 (list; graph; refs; listen; history; text; internal format)
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
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
Sequence in context: A115893 A323338 A057678 * A319898 A325957 A247148
KEYWORD
nonn,base
AUTHOR
Klaus Brockhaus, Nov 20 2003
STATUS
approved

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Last modified April 19 18:00 EDT 2024. Contains 371797 sequences. (Running on oeis4.)