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A329197
Length of the n-th nontrivial cycle of the "ghost iteration" A329200.
10
5, 6, 3, 7, 5, 9, 6, 3, 3, 5, 3, 3, 6, 3, 3, 3, 5, 3, 3, 6, 3, 3, 3, 3, 5, 3, 3, 6, 3, 17, 3, 11, 3, 3, 3, 5, 3, 3, 6, 6, 3, 17, 3, 3, 3, 3, 5, 7, 6
OFFSET
1,1
COMMENTS
A329200 consists in adding or subtracting the number A040115(n) whose digits are the differences of adjacent digits of n, depending on its parity.
Repdigits A010785 are fixed points of this map, but some numbers enter nontrivial cycles. This sequence gives the length of these cycles, ordered by their smallest member, as they are listed in the table A329196. See there for more information.
EXAMPLE
The first cycle of A329200 is row 1 of A329196, (8290, 8969, 9102), of length 3 = a(1).
The second cycle of A329200 is row 2 of A329196, (17998, 24199, 21819, 20041, 22084, 21800, 20020), of length 7 = a(2).
PROG
(PARI) /* change T to #T in print statement of code for A329196 */
CROSSREFS
Cf. A329196, A329200, A329198, A329342 (variant using A329201).
Sequence in context: A199666 A307619 A123852 * A153614 A328905 A195709
KEYWORD
nonn,more
AUTHOR
M. F. Hasler, Nov 10 2019
EXTENSIONS
a(9)-a(35) from Scott R. Shannon, Nov 12 2019
a(36)-a(49) from Lars Blomberg, Nov 15 2019
STATUS
approved