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A008833 Largest square dividing n. +0
32
1, 1, 1, 4, 1, 1, 1, 4, 9, 1, 1, 4, 1, 1, 1, 16, 1, 9, 1, 4, 1, 1, 1, 4, 25, 1, 9, 4, 1, 1, 1, 16, 1, 1, 1, 36, 1, 1, 1, 4, 1, 1, 1, 4, 9, 1, 1, 16, 49, 25, 1, 4, 1, 9, 1, 4, 1, 1, 1, 4, 1, 1, 9, 64, 1, 1, 1, 4, 1, 1, 1, 36, 1, 1, 25, 4, 1, 1, 1, 16, 81, 1, 1, 4, 1, 1, 1, 4, 1, 9, 1, 4, 1, 1, 1, 16, 1 (list; graph; listen)
OFFSET

1,4

LINKS

Daniel Forgues, Table of n, a(n) for n=1..100000

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

H. Bottomley, Some Smarandache-type multiplicative sequences

FORMULA

a(n) = A000188(n)^2 = n/A007913(n). Cf. A019554.

Multiplicative with a(p^e) = p^(2[e/2]). - David W. Wilson (davidwwilson(AT)comcast.net), Aug 01, 2001.

MAPLE

with(numtheory): [ seq( expand(nthpow(i, 2)), i=1..200) ];

PROGRAM

(PARI) A008833(n)=n/core(n) [From Michael Porter (michael_b_porter(AT)yahoo.com), Oct 17 2009]

CROSSREFS

Sequence in context: A131301 A083730 A162400 this_sequence A063928 A131299 A073937

Adjacent sequences: A008830 A008831 A008832 this_sequence A008834 A008835 A008836

KEYWORD

nonn,easy,mult

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jun 20 2000

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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