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Search: id:A090069
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| A090069 |
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Numbers n such that there are (presumably) eight palindromes in the Reverse and Add! trajectory of n. |
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3
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| 3, 8, 20, 22, 100, 101, 116, 122, 139, 151, 160, 215, 221, 238, 313, 314, 320, 337, 343, 413, 436, 512, 611, 634, 696, 710, 717, 727, 733, 832, 931, 1004, 1011, 1070, 1101, 1160, 1250, 1340, 1430, 1520, 1610, 1700, 1771, 2000, 2002, 2003, 2010, 2100, 2112
(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 <= 5000 each palindrome is reached from the preceding one or from the start in at most 15 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 8 begins 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 8, 77,
1111, 2222, 4444, 8888, 661166 and 3654563 are the eight palindromes in the trajectory of 8 and 8 is a term.
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CROSSREFS
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Cf. A023108, A023109, A065001, A070742, A077594.
Sequence in context: A047093 A060305 A009141 this_sequence A027299 A143785 A135565
Adjacent sequences: A090066 A090067 A090068 this_sequence A090070 A090071 A090072
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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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