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A062566 Squarefree parts of highly composite numbers (definition 1) (A002182). 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 13 06:22 EDT 2020. Contains 336442 sequences. (Running on oeis4.)