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A356063
a(n) is the new Lucas divisor that appears at the step A356062(n).
1
1, 2, 4, 3, 18, 7, 11, 76, 322, 29, 1364, 123, 47, 199, 24476, 843, 5778, 521
OFFSET
1,2
COMMENTS
The sequence is not monotonic.
Conjecture: the sequence is well defined, i.e., it is not possible that two new Lucas divisors arrive while one disappears for some step in A356062.
EXAMPLE
a(1) = 1 because the smallest integer that has only one Lucas divisor is 1 since 1 is the smallest Lucas number in A000032.
A356062(6) = 252 and the set of the six Lucas divisors of 252 is {1, 2, 3, 4, 7, 18}. Then, A356062(7) = 2772 and the set of the seven Lucas divisors of 2772 is {1, 2, 3, 4, 7, 11, 18}. The new Lucas divisor that appears in this set is 11, hence a(7) = 11.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Bernard Schott, Jul 25 2022
STATUS
approved