A366121 A fractal sequence. Pick any term t: exactly two of the t terms following t are larger than t.

2, 3, 3, 4, 4, 2, 5, 5, 2, 3, 6, 6, 2, 3, 3, 7, 7, 2, 3, 3, 4, 8, 8, 2, 3, 3, 4, 4, 9, 9, 2, 3, 3, 4, 4, 2, 10, 10, 2, 3, 3, 4, 4, 2, 5, 11, 11, 2, 3, 3, 4, 4, 2, 5, 5, 12, 12, 2, 3, 3, 4, 4, 2, 5, 5, 2, 13, 13, 2, 3, 3, 4, 4, 2, 5, 5, 2, 3, 14, 14, 2, 3, 3, 4, 4, 2, 5, 5, 2, 3, 6, 15, 15, 2, 3, 3, 4, 4, 2, 5, 5, 2, 3, 6, 6, 16, 16

Offset

1,1

Comments

Starting with a(1) = 2, this is the lexicographically earliest sequence with this property.

If we want the two terms to be distinct, see A366122.

Links

Table of n, a(n) for n=1..107.

Example

Two terms out of 2 following a(1) = 2 are > 2: they are 3 and 3.
Two terms out of 3 following a(2) = 3 are > 3: they are 4 and 4.
Two terms out of 3 following a(3) = 3 are > 3: they are 4 and 4.
Two terms out of 4 following a(4) = 4 are > 4: they are 5 and 5.
Two terms out of 4 following a(5) = 4 are > 4: they are 5 and 5.
Two terms out of 2 following a(6) = 2 are > 2: they are 5 and 5.
Two terms out of 5 following a(7) = 5 are > 5: they are 6 and 6.
Two terms out of 5 following a(8) = 5 are > 5: they are 6 and 6; etc.

Crossrefs

Cf. A366122.

Sequence in context: A063826 A320120 A152983 * A331377 A343754 A327551

Adjacent sequences: A366118 A366119 A366120 * A366122 A366123 A366124

Keyword

nonn

Author

Eric Angelini, Sep 30 2023

Status

approved