A336318 Square root of the largest square dividing n*d(n), where d(n) is the number of divisors of n, A000005.

1, 2, 1, 2, 1, 2, 1, 4, 3, 2, 1, 6, 1, 2, 2, 4, 1, 6, 1, 2, 2, 2, 1, 8, 5, 2, 6, 2, 1, 4, 1, 8, 2, 2, 2, 18, 1, 2, 2, 8, 1, 4, 1, 2, 3, 2, 1, 4, 7, 10, 2, 2, 1, 12, 2, 8, 2, 2, 1, 12, 1, 2, 3, 8, 2, 4, 1, 2, 2, 4, 1, 12, 1, 2, 15, 2, 2, 4, 1, 20, 9, 2, 1, 12, 2, 2, 2, 8, 1, 6

Offset

1,2

Links

Antti Karttunen, Table of n, a(n) for n = 1..10000

Antti Karttunen, Data supplement: n, a(n) computed for n = 1..65537

Formula

a(n) = A000188(A038040(n)) = A000188(n*A000005(n)).

a(n) = A000196(A038040(n)/A336319(n)).

Prog

(PARI)
A000188(n) = core(n, 1)[2]; \\ From A000188
A336318(n) = A000188(n*numdiv(n));

Crossrefs

Cf. A000005, A000188, A000196, A038040, A336319.

Sequence in context: A160976 A029218 A100376 * A020738 A063279 A247051

Adjacent sequences: A336315 A336316 A336317 * A336319 A336320 A336321

Keyword

nonn

Author

Antti Karttunen, Jul 19 2020

Status

approved