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A073348 Least k such that sigma(k)/k >= sigma(n)/n. +0
1
1, 2, 2, 4, 2, 6, 2, 6, 2, 6, 2, 12, 2, 4, 4, 6, 2, 12, 2, 12, 4, 4, 2, 24, 2, 4, 2, 6, 2, 24, 2, 6, 2, 4, 2, 36, 2, 4, 2, 12, 2, 12, 2, 6, 4, 4, 2, 48, 2, 6, 2, 6, 2, 12, 2, 12, 2, 4, 2, 60, 2, 4, 4, 6, 2, 12, 2, 6, 2, 12, 2, 60, 2, 4, 4, 6, 2, 12, 2, 12, 2, 4, 2, 60, 2, 4, 2, 12, 2, 60, 2, 6, 2, 4 (list; graph; listen)
OFFSET

1,2

FORMULA

It seems that sum(k=1, n, a(k)) is asymptotic to C*n*Log(n)*Log(Log(n)) with C>1.

PROGRAM

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

CROSSREFS

Sequence in context: A054704 A082174 A074369 this_sequence A122457 A139770 A140635

Adjacent sequences: A073345 A073346 A073347 this_sequence A073349 A073350 A073351

KEYWORD

easy,nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 23 2002

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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