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A072906 Least k >=1 such that floor(n/k) is squarefree. 0
1, 1, 1, 2, 1, 1, 1, 3, 3, 1, 1, 2, 1, 1, 1, 3, 1, 3, 1, 2, 1, 1, 1, 4, 4, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 5, 1, 1, 1, 3, 1, 1, 1, 2, 2, 1, 1, 7, 7, 5, 1, 2, 1, 4, 1, 4, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 2, 1, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 3, 6, 1, 1, 2, 1, 1, 1, 3, 1, 3, 1, 2, 1, 1, 1, 5, 1, 5, 3, 3, 1, 1, 1, 3, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Table of n, a(n) for n=1..105.

FORMULA

sum(k=1, a(k)) is asymptotic to C*n with C=1.9091.....

PROG

(PARI) a(n)=if(n<0, 0, s=1; while(issquarefree(floor(n/s))==0, s++); s)

CROSSREFS

Sequence in context: A185812 A152798 A079115 * A201160 A180303 A118923

Adjacent sequences:  A072903 A072904 A072905 * A072907 A072908 A072909

KEYWORD

easy,nonn

AUTHOR

Benoit Cloitre, Aug 10 2002

STATUS

approved

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Last modified May 21 08:28 EDT 2013. Contains 225478 sequences.