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Search: id:A070962
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| A070962 |
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Card{ k<=n | omega(k)!=omega(n) }, where omega(n) = A001221(n). |
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+0
1
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| 0, 1, 1, 1, 1, 5, 2, 2, 2, 8, 3, 9, 4, 10, 10, 6, 6, 12, 7, 13, 13, 13, 10, 14, 11, 15, 12, 16, 13, 29, 14, 14, 20, 20, 20, 20, 18, 21, 21, 21, 21, 40, 22, 24, 24, 24, 25, 25, 26, 26, 26, 26, 29, 27, 27, 27, 27, 27, 34, 57, 35, 30, 30, 37, 31, 62, 39, 33, 33, 65, 42, 35, 43, 36
(list; graph; listen)
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OFFSET
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1,6
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LINKS
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Eric Weisstein's World of Mathematics, Erdos-Kac theorem
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FORMULA
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lim a(n)/n = 1. This follows from the Erdos-Kac theorem on the distribution of values of omega(n) - see the Weisstein link. - Dean Hickerson, Jan 29 2006
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PROGRAM
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(PARI) for(n=1, 200, print1(sum(i=1, n, if(omega(n)==omega(i), 0, 1)), ", "))
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CROSSREFS
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Sequence in context: A129165 A081119 A119320 this_sequence A090125 A093008 A161462
Adjacent sequences: A070959 A070960 A070961 this_sequence A070963 A070964 A070965
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), May 16 2002
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EXTENSIONS
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Definition corrected by Frank Adams-Watters (FrankTAW(AT)Netscape.net), Jan 29 2006
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