

A058035


Largest 4thpowerfree number dividing n.


3



1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 8, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 8, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 24, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8, 65, 66, 67, 68, 69, 70, 71, 72
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OFFSET

1,2


LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000
H. Bottomley, Some Smarandachetype multiplicative sequences


FORMULA

Multiplicative with a(p^e) = p ^ min(e,3), p prime, e > 0. [Reinhard Zumkeller, Jan 06 2012]


EXAMPLE

a(96)=24 since the factors of 96 are {1,2,3,4,6,8,12,16,24,32,48,96} but 32, 48 and 96 all contain a 4th power factor (16).


PROG

(Haskell)
a058035 n = product $
zipWith (^) (a027748_row n) (map (min 3) $ a124010_row n)
 Reinhard Zumkeller, Jan 06 2012
(PARI) a(n) = my(f=factor(n)); for(k=1, #f~, f[k, 2]=min(3, f[k, 2])); factorback(f); \\ Michel Marcus, Sep 13 2017


CROSSREFS

Cf. A007947, A007948, A008835, A046100, A053165.
Cf. A027748, A124010.
Sequence in context: A216455 A291580 A291581 * A057946 A117657 A106618
Adjacent sequences: A058032 A058033 A058034 * A058036 A058037 A058038


KEYWORD

easy,nonn,mult


AUTHOR

Henry Bottomley, Nov 16 2000


STATUS

approved



