A378369 Distance between n and the least nonsquarefree number >= n.

3, 2, 1, 0, 3, 2, 1, 0, 0, 2, 1, 0, 3, 2, 1, 0, 1, 0, 1, 0, 3, 2, 1, 0, 0, 1, 0, 0, 3, 2, 1, 0, 3, 2, 1, 0, 3, 2, 1, 0, 3, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 3, 2, 1, 0, 2, 1, 0, 0, 3, 2, 1, 0, 3, 2, 1, 0, 2, 1, 0, 0, 3, 2, 1, 0, 0, 2, 1, 0, 3, 2, 1

Offset

1,1

Comments

All terms are 0, 1, 2, or 3 (cf. A078147).

Links

Table of n, a(n) for n=1..87.

Mathematica

Table[NestWhile[#+1&, n, SquareFreeQ[#]&]-n, {n, 100}]

Crossrefs

Adding n to each term a(n) gives A120327.

Positions of 0 are A013929.

Positions of 1 are A373415.

Positions of 2 are A378458.

Positions of 3 are A007675.

Sequences obtained by adding n to each term are placed in parentheses below.

The version for primes is A007920 (A007918).

The version for perfect powers is A074984 (A377468).

The version for squarefree numbers is A081221 (A067535).

The version for non-perfect powers is A378357 (A378358).

The version for prime powers is A378370 (A000015).

The version for non prime powers is A378371 (A378372).

A005117 lists the squarefree numbers, first differences A076259.

A013929 lists the nonsquarefree numbers, first differences A078147.

A120992 gives run-lengths of squarefree numbers increasing by one.

Cf. A073247, A151800, A236575, A243348, A375707, A377046, A378033, A378039, A378086, A378373.

Sequence in context: A359677 A215486 A083721 * A158459 A319666 A307333

Adjacent sequences: A378366 A378367 A378368 * A378370 A378371 A378372

Keyword

nonn

Author

Gus Wiseman, Dec 01 2024

Status

approved