A232658 Numbers that are factors of Lucas numbers, whose multiples do not appear in some other Fibonacci-like sequence.

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

Table of n, a(n) for n=1..57.

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

Cf. A230457, A065156, A064362.

Sequence in context: A162555 A059141 A072967 * A300062 A309489 A054306

Adjacent sequences: A232655 A232656 A232657 * A232659 A232660 A232661

Keyword

nonn

Author

Brandon Avila and Tanya Khovanova, Nov 27 2013

Status

approved