A062566 Squarefree parts of highly composite numbers (definition 1) (A002182).

1, 2, 1, 6, 3, 6, 1, 3, 15, 30, 5, 15, 10, 5, 210, 35, 105, 70, 35, 210, 70, 105, 35, 7, 770, 35, 14, 385, 2310, 770, 1155, 385, 77, 2310, 385, 154, 1155, 5005, 30030, 10010, 15015, 5005, 1001, 30030, 5005, 2002, 15015, 3003, 1001, 30030, 6006, 1001, 255255

Offset

1,2

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000 (terms 1..1000 from Klaus Brockhaus)

Formula

a(n) = A007913(A002182(n)). - Amiram Eldar, Sep 08 2019

Example

Highly composite numbers are those for which d(n), the number of divisors of n, is a record. The tenth such number is 120, expressible as (2^3)*3*5, in which the largest square is 2^2 = 4. 120/4=30, so a(10)=30.

Crossrefs

Cf. A002182, A007913.

Sequence in context: A308573 A171178 A100014 * A126265 A293182 A124441

Adjacent sequences: A062563 A062564 A062565 * A062567 A062568 A062569

Keyword

nonn

Author

Neil Fernandez, Jul 03 2001

Extensions

More terms from Klaus Brockhaus, Nov 29 2008

Status

approved