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Search: id:A090070
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| A090070 |
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Numbers n such that there are (presumably) nine palindromes in the Reverse and Add! trajectory of n. |
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+0
3
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| 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
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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.
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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 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.
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CROSSREFS
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Cf. A023108, A023109, A065001, A070742, A077594.
Sequence in context: A106631 A120261 A101154 this_sequence A078005 A092428 A102998
Adjacent sequences: A090067 A090068 A090069 this_sequence A090071 A090072 A090073
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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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