login
A232658
Numbers that are factors of Lucas numbers, whose multiples do not appear in some other Fibonacci-like sequence.
0
11, 18, 19, 22, 29, 31, 38, 41, 44, 46, 47, 54, 58, 59, 62, 71, 76, 79, 82, 94, 101, 107, 116, 118, 121, 123, 124, 129, 131, 139, 142, 151, 158, 161, 162, 166, 179, 181, 191, 199, 201, 202, 209, 211, 214, 229, 236, 239, 241, 242, 246, 249, 251, 258, 262, 263, 271
OFFSET
1,1
COMMENTS
Intersection of A230457 and A065156.
Sequence A230457 from which elements of A064362 are removed.
LINKS
B. Avila and T. Khovanova, Free Fibonacci Sequences, arXiv preprint arXiv:1403.4614, 2014 and J. Int. Seq. 17 (2014) # 14.8.5
EXAMPLE
Sequence A000285 is the Fibonacci-like sequence starting with 1 and 4. This sequence doesn't contain multiples of 11. On the other hand Lucas numbers contain multiples of 11. Therefore, 11 belongs to this sequence.
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved