A332012 a(n) is the greatest square of the form floor(n/k) where k > 0.

0, 1, 1, 1, 4, 1, 1, 1, 4, 9, 1, 1, 4, 4, 4, 1, 16, 4, 9, 9, 4, 4, 4, 4, 4, 25, 4, 9, 9, 9, 4, 4, 16, 16, 4, 4, 36, 9, 9, 9, 4, 4, 4, 4, 4, 9, 9, 9, 16, 49, 25, 25, 4, 4, 9, 9, 9, 9, 9, 9, 4, 4, 4, 9, 64, 16, 16, 16, 9, 9, 4, 4, 36, 36, 9, 25, 25, 25, 9, 9, 16

Offset

0,5

Links

Rémy Sigrist, Table of n, a(n) for n = 0..10000

Formula

a(n) = A331958(n)^2.

a(n^2) = n^2.

a(2*n^2) = n^2.

Example

For n = 8:
- floor(8/1) = 8 is not a square number,
- floor(8/2) = 4 is a square number,
- hence a(8) = 4.

Prog

(PARI) a(n) = for (k=1, oo, if (issquare(n\k), return (n\k)))

Crossrefs

Cf. A331953, A331958.

Sequence in context: A358272 A008833 A162400 * A365788 A179054 A063928

Adjacent sequences: A332009 A332010 A332011 * A332013 A332014 A332015

Keyword

nonn

Author

Rémy Sigrist, Feb 04 2020

Status

approved