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Search: id:A118510
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| A118510 |
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Define sequence S_m by: initial term = m, reverse digits and add 1 to get next term. It is conjectured that S_m always reaches a cycle of length 9, as in A117230. Sequence gives records for number of steps to reach cycle. |
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+0
5
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OFFSET
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1,2
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COMMENT
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The values of m which take this many steps are 1, 11, 101, 1001, 10001, 100001, 1000001, 10000001, 100000001, ...
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LINKS
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N. J. A. Sloane, Sequences of RADD type
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FORMULA
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a(n) = 1 + 9*(n-1) for odd n; a(n) = 9*n for even n. Recursion: a(1) = 1; a(2) = 18; a(n+1) = a(n-1) + 18. - (Klaus Brockhaus, Jul 28 2006)
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CROSSREFS
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Records in A118511.
Cf. A117230, A117831, A118473, A118474.
Adjacent sequences: A118507 A118508 A118509 this_sequence A118511 A118512 A118513
Sequence in context: A031956 A095393 A056022 this_sequence A022108 A041654 A041656
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KEYWORD
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nonn
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AUTHOR
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njas, May 06 2006
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EXTENSIONS
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a(5) to a(9) from Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jul 28 2006
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