|
|
A239419
|
|
Numbers that end in the trivial cycle (0) under the rule: next term = product of the last three digits of the concatenated preceding terms.
|
|
5
|
|
|
0, 3, 5, 7, 8, 10, 15, 16, 17, 20, 25, 30, 33, 35, 36, 40, 41, 45, 50, 51, 52, 53, 54, 55, 56, 58, 59, 60, 61, 63, 65, 67, 70, 74, 75, 76, 77, 78, 79, 80, 84, 85, 88, 89, 90, 95, 97, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 115, 116, 117, 120, 123, 125, 130, 132, 135, 136, 140, 145, 150, 151, 152, 153, 154, 155, 156, 157, 158
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
Additional rule: As long as there are less than k=3 digits in the sequence, the first digit is repeated as often as necessary, e.g. 3 => 3*3*3 = 27 => 3*2*7 = 42 => 7*4*2 = 56 => 2*5*6 = 60 => 6*6*0 = 0 => 6*0*0 => 0, ...
See A238984 for more details, motivation and links.
|
|
LINKS
|
|
|
PROG
|
(PARI) is_A239419(n) = !A238984(99, n) \\ Here, the somewhat arbitrary value 99 (number of iterations before checking for 0) should be sufficiently large for small n, but might need to be increased for larger starting values n.
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|