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Search: id:A090068
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| A090068 |
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Numbers n such that there are (presumably) seven palindromes in the Reverse and Add! trajectory of n. |
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1
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| 6, 13, 16, 25, 31, 34, 40, 43, 44, 52, 61, 70, 77, 104, 111, 115, 145, 158, 200, 202, 203, 214, 244, 250, 257, 302, 356, 399, 401, 412, 414, 442, 455, 498, 500, 505, 511, 519, 529, 541, 554, 597, 610, 618, 626, 628, 640, 653, 656, 686, 752, 795, 797, 816, 826
(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 < 2000 each palindrome is reached from the preceding one or from the start in at most 24 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 25 begins 25, 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 77, 1111,
2222, 4444, 8888, 661166 and 3654563 are the seven palindromes in the trajectory of 25 and 25 is a term.
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CROSSREFS
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Cf. A023108, A023109, A065001, A070742, A077594.
Sequence in context: A100205 A140888 A053753 this_sequence A070899 A153696 A032366
Adjacent sequences: A090065 A090066 A090067 this_sequence A090069 A090070 A090071
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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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