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Search: id:A005279
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A005279 Numbers having divisors d,e with d < e < 2d.
(Formerly M4093)
+0
9
6, 12, 15, 18, 20, 24, 28, 30, 35, 36, 40, 42, 45, 48, 54, 56, 60, 63, 66, 70, 72, 75, 77, 78, 80, 84, 88, 90, 91, 96, 99, 100, 102, 104, 105, 108, 110, 112, 114, 117, 120, 126, 130, 132, 135, 138, 140, 143, 144, 150, 153, 154, 156, 160, 162, 165, 168, 170, 174, 175, 176 (list; graph; listen)
OFFSET

1,1

COMMENT

Arithmetic and harmonic means of A046793(n) and a(n) both integers.

n is in this sequence iff n is a multiple of some term in A020886.

REFERENCES

R. K. Guy, Unsolved Problems in Number Theory, E3.

MAPLE

isA005279 := proc(n) local divs, d, e ; divs := numtheory[divisors](n) ; for d from 1 to nops(divs)-1 do for e from d+1 to nops(divs) do if divs[e] < 2*divs[d] then RETURN(true) ; fi ; od: od: RETURN(false) : end; for n from 3 to 300 do if isA005279(n) then printf("%d, ", n) ; fi ; od : - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 08 2006

CROSSREFS

Cf. A010814.

Sequence in context: A114304 A107487 A092671 this_sequence A129512 A116359 A141698

Adjacent sequences: A005276 A005277 A005278 this_sequence A005280 A005281 A005282

KEYWORD

nonn

AUTHOR

njas, Robert G. Wilson v (rgwv(AT)rgwv.com)

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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