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A255348 a(1)=1, a(2) = 2; for n > 2, a(n) is the smallest number not already used such that the set of prime divisors of one of the numbers {a(n-1), a(n)} is a subset of the set of prime divisors of the other. 2
1, 2, 4, 6, 3, 9, 12, 8, 10, 5, 15, 25, 20, 16, 14, 7, 21, 27, 18, 24, 30, 32, 22, 11, 33, 66, 36, 42, 28, 49, 35, 70, 40, 50, 60, 45, 75, 81, 39, 13, 26, 52, 64, 34, 17, 51, 102, 48, 54, 72, 78, 96, 84, 56, 98, 112, 126, 63, 105, 125, 55, 110, 44, 88, 121, 77 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
The sequence is an analog of EKG-sequence A064413 with more hard condition on neighbor terms. However, we conjecture that, as A064413, it is a permutation of the positive integers.
By the definition, every two neighbor terms are strictly connected numbers defined in comment in A257112.
LINKS
CROSSREFS
Sequence in context: A357963 A357994 A357942 * A342366 A336946 A357777
KEYWORD
nonn
AUTHOR
Vladimir Shevelev, May 05 2015
EXTENSIONS
More terms from Peter J. C. Moses, May 05 2015
STATUS
approved

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Last modified March 29 08:08 EDT 2024. Contains 371265 sequences. (Running on oeis4.)