A328801 Least k such that there exists a square of side length sqrt(A001481(n)) with vertices in a k X k square array of points.

2, 3, 3, 4, 5, 4, 5, 6, 5, 6, 7, 7, 6, 7, 8, 9, 9, 7, 8, 9, 10, 10, 8, 9, 11, 10, 11, 12, 9, 10, 11, 13, 12, 13, 13, 10, 11, 12, 14, 13, 14, 15, 11, 12, 13, 15, 14, 16, 15, 16, 12, 13, 14, 17, 15, 17, 16, 13, 14, 17, 15, 18, 16, 18, 17, 19, 19, 14, 15, 16, 17

Offset

2,1

Links

Peter Kagey, Table of n, a(n) for n = 2..10000

Formula

a(n) = A328803(n) + 1.

Example

For n = 8, there is a square with side length sqrt(A001481(8)) = sqrt(10) and vertices in the a(8) X a(8) = 5 X 5 square array of points.
o o o * o
* o o o o
o o o o o
o o o o *
o * o o o
However, there is no square with side length sqrt(10) and vertices in a smaller square array points.

Crossrefs

Cf. A001481, A108279.

A328793 is the analog for a triangular grid.

Sequence in context: A204979 A243351 A071585 * A106500 A280315 A120245

Adjacent sequences: A328798 A328799 A328800 * A328802 A328803 A328804

Keyword

nonn,look

Author

Peter Kagey, Oct 27 2019

Status

approved