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Search: id:A090067
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| A090067 |
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Numbers n such that there are (presumably) six palindromes in the Reverse and Add! trajectory of n. |
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+0
1
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| 7, 12, 17, 21, 26, 30, 33, 35, 53, 59, 62, 68, 71, 80, 86, 88, 95, 102, 103, 109, 114, 117, 142, 150, 154, 170, 191, 201, 208, 209, 210, 213, 216, 222, 241, 253, 300, 301, 303, 307, 308, 312, 315, 329, 340, 352, 359, 383, 389, 400, 404, 406, 407, 411, 428, 451
(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 154 begins 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 525, 1551, 5115,
13431, 26862 and 12455421 are the six palindromes in the trajectory of 154 and 154 is a term.
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CROSSREFS
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Cf. A023108, A023109, A065001, A070742, A077594.
Sequence in context: A071780 A063303 A091215 this_sequence A072354 A091576 A091573
Adjacent sequences: A090064 A090065 A090066 this_sequence A090068 A090069 A090070
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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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