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Search: id:A077594
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| A077594 |
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Smallest number whose Reverse and Add! trajectory (presumably) contains exactly n palindromes, or -1 if there is no such number. |
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+0
17
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| 196, 89, 49, 18, 9, 14, 7, 6, 3, 4, 2, 1, 10000, -1, -1, -1, -1, -1, -1, -1, -1
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Conjecture 1: For each k > 0 the trajectory of k eventually leads to a term in the trajectory of some j which belongs to A063048, i.e. whose trajectory (presumably) never leads to a palindrome. Conjecture 2: There is no k > 0 such that the trajectory of k contains more than twelve palindromes, i.e. a(n) = -1 for n > 12.
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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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a(9) = 4 since the trajectory of 4 contains the nine palindromes 4, 8, 77, 1111, 2222, 4444, 8888, 661166, 3654563 and at 7309126 joins the trajectory of 10577 = A063048(6), and no m < 4 contains exactly nine palindromes.
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CROSSREFS
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Cf. A002113, A006960, A023108, A063048, A063433, A065001, A070742.
Adjacent sequences: A077591 A077592 A077593 this_sequence A077595 A077596 A077597
Sequence in context: A080913 A066232 A084232 this_sequence A044870 A118781 A119667
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KEYWORD
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base,sign
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AUTHOR
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Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Nov 08 2002
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