The On-Line Encyclopedia of Integer Sequences (OEIS)

A356063 revision #9

A356063

a(n) is the new Lucas divisor that appears at the step A356062(n).

1, 2, 4, 3, 18, 7, 11, 76, 322, 29, 1364, 123, 47, 199, 24476, 843, 5778, 521

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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.

LINKS

Table of n, a(n) for n=1..18.

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

Cf. A000032, A304092, A349100, A356062.

Sequence in context: A242500 A132049 A229213 * A071970 A182103 A303053

Adjacent sequences: A356060 A356061 A356062 * A356064 A356065 A356066

KEYWORD

nonn,more

AUTHOR

Bernard Schott, Jul 25 2022

STATUS

proposed