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Search: id:A089494
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| A089494 |
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a(n) = smallest non-palindromic k such that the Reverse and Add! trajectory of k is palindrome-free and joins the trajectory of A070788(n). |
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+0
4
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| 10577, 1000000537869, 100000070637875, 10004697841, 10000671273, 100010097365, 990699, 1997, 19098, 10563, 109918, 10735, 101976, 1060004932996, 100059426, 90379, 10003991597, 100000089687980, 90900469909, 13097, 1005989
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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a(3), a(14) and a(18) are conjectural; it is not yet ensured that they are minimal.
a(n) >= A070788(n); a(n) = A070788(n) iff the trajectory of A070788(n) is palindrome-free, i.e. A070788(n) is also a term of A063048.
a(n) determines a 1-1-mapping from the terms of A070788 to the terms of A063048, the inverse of the mapping determined by A089493. Terms > 2*10^6 were ascertained with the aid of W. VanLandingham's list of Lychrel numbers.
The 1-1 property of the mapping depends on the conjecture that the Reverse and Add! trajectory of each term of A070788 contains only a finite number of palindromes (cf. A077594). - Klaus Brockhaus, Dec 09 2003
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LINKS
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W. VanLandingham, 196 and Other Lychrel Numbers
Index entries for sequences related to Reverse and Add!
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EXAMPLE
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A070788(1) = 1, the trajectory of 1 joins the trajectory of 10577 = A063048(7) at 7309126, so a(1) = 10577. A070788(8) = 106, the trajectory of 106 joins the trajectory of 1997 = A063048(3) at 97768, so a(8) = 1997.
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CROSSREFS
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Cf. A063048, A070788, A089493, A077594.
Sequence in context: A025028 A063063 A063433 this_sequence A066054 A070249 A083977
Adjacent sequences: A089491 A089492 A089493 this_sequence A089495 A089496 A089497
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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 04 2003
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