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Search: id:A090071
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| A090071 |
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Numbers n such that there are (presumably) ten palindromes in the Reverse and Add! trajectory of n. |
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+0
3
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| 2, 5, 10003, 30001, 40000, 40004, 100000, 100001, 2000000, 2000002
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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.
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LINKS
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Index entries for sequences related to Reverse and Add!
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EXAMPLE
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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.
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CROSSREFS
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Cf. A023108, A023109, A065001, A070742, A077594.
Sequence in context: A082815 A115893 A057678 this_sequence A139062 A122760 A165733
Adjacent sequences: A090068 A090069 A090070 this_sequence A090072 A090073 A090074
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KEYWORD
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nonn,base
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AUTHOR
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Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Nov 20 2003
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