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A118510
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.
4
1, 18, 19, 36, 37, 54, 55, 72, 73
OFFSET
1,2
COMMENTS
The values of m which take this many steps are 1, 11, 101, 1001, 10001, 100001, 1000001, 10000001, 100000001, ...
LINKS
N. J. A. Sloane and others, Sequences of RADD type, OEIS wiki.
FORMULA
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)
CROSSREFS
Records in A118511.
Sequence in context: A095393 A301601 A056022 * A022108 A041654 A041656
KEYWORD
nonn,base
AUTHOR
N. J. A. Sloane, May 06 2006
EXTENSIONS
a(5) to a(9) from Klaus Brockhaus, Jul 28 2006
STATUS
approved