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A068306 Numbers n such that n*tau(n)<sigma(n)*bigomega(n) where tau(n)=A000005(n) sigma(n)=A000203(n) and bigomega(n)=A001222(n). 0
4, 8, 12, 16, 18, 20, 24, 27, 32, 36, 40, 48, 54, 56, 64, 72, 80, 81, 88, 96, 104, 108, 112, 128, 14, 4, 160, 162, 176, 192, 208, 216, 224, 243, 256, 272, 288, 304, 320, 324, 352, 368, 384, 416, 43, 2, 448, 464, 486, 512, 544, 576, 608, 640, 704, 729, 736, 768, 832 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

In this sequence are numbers of the form p^u u>=p p prime, numbers of the form 2^k*p p odd prime and k>=k(p) where k(p)=floor(log(p)/log(2)). Example : the first number of the form 2^k*67 in the sequence is 2^6*67=4288 because floor(log(67)/log(2))=6

If n=p^(p-1) p prime n*tau(n)-sigma(n)*bigomega(n)=1

CROSSREFS

Sequence in context: A196032 A130702 A053806 * A113645 A190714 A086133

Adjacent sequences:  A068303 A068304 A068305 * A068307 A068308 A068309

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 24 2002

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Last modified February 15 15:20 EST 2012. Contains 205823 sequences.