A023634 s(3n)-s(3n-1), where s( ) is sequence A023633.

4, 2, 2, 5, 5, 5, 2, 2, 2, 5, 2, 2, 2, 5, 2, 2, 2, 5, 5, 5, 5, 2, 2, 2, 5, 5, 5, 5, 2, 2, 2, 5, 5, 5, 5, 2, 2, 2, 5, 2, 2, 2, 5, 2, 2, 2, 5, 2, 2, 2, 5, 5, 5, 5, 2, 2, 2, 5, 2, 2, 2, 5, 2, 2, 2, 5, 2, 2, 2, 5, 5, 5, 5, 2, 2, 2, 5, 2, 2, 2, 5, 2, 2, 2, 5, 2, 2, 2, 5, 5, 5, 5, 2, 2, 2, 5, 5, 5, 5

Offset

1,1

Comments

From Michel Dekking, Sep 15 2022: (Start)

Let (c(n): n>=0) = 0,3,4,5,9,13,17,... be the complement of A023633, and let (b(n)) be the sequence of first differences of (c(n)). Then one sees directly from the definition of A023633 that a(n) = b(n) + 1 for all n.

Conjecture: (a(n)) is fixed point of the morphism

2->5, 4->422, 5->5222,

and so (b(n)) is fixed point of the morphism 1->4, 3->311, 4->4111. (End)

Links

Table of n, a(n) for n=1..99.

Crossrefs

Sequence in context: A016510 A334232 A244681 * A199609 A284692 A019834

Adjacent sequences: A023631 A023632 A023633 * A023635 A023636 A023637

Keyword

nonn

Author

Clark Kimberling

Status

approved