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Search: id:A068317
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| A068317 |
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Numbers n such that n*tau(n) > omega(n)*prime(n) where tau(n) is the number of divisors of n and omega(n) the number of distinct prime factors of n. |
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+0 1
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| 1, 2, 3, 4, 8, 9, 16, 24, 27, 32, 36, 48, 64, 72, 96, 108, 128, 144, 160, 180, 192, 216, 240, 256, 288, 320, 324, 360, 384, 400, 432, 480, 504, 512, 540, 576, 600, 640, 648, 672, 720, 756, 768, 792, 800, 840, 864, 896, 900, 936, 960, 972, 1000, 1008, 1024
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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There are very few odd terms in the sequence ( 1,3,9,27,30375,33075,....) (PARI) for(n=1,1000, if(numdiv(n)*n>omega(n)*prime(n),print1(n,",")))
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CROSSREFS
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Sequence in context: A078829 A045583 A045608 this_sequence A074311 A076382 A006899
Adjacent sequences: A068314 A068315 A068316 this_sequence A068318 A068319 A068320
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KEYWORD
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easy,nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 26 2002
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