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A086334 Number of highly composite numbers having n distinct prime factors. 2

%I #19 Sep 30 2018 03:14:32

%S 1,2,5,6,12,11,16,14,19,21,15,23,18,17,22,20,30,23,31,25,28,33,27,28,

%T 36,27,33,35,33,36,46,37,47,36,38,36,48,43,37,43,39,40,45,36,37,36,47,

%U 46,43,43,48,43,44,47,58,52,50,51,57,50,51,56,66,67,66,67,94,76,98,74,70,71,71

%N Number of highly composite numbers having n distinct prime factors.

%H T. D. Noe, <a href="/A086334/b086334.txt">Table of n, a(n) for n = 0..4000</a> (using data from Flammenkamp)

%H A. Flammenkamp, <a href="http://wwwhomes.uni-bielefeld.de/achim/highly.txt">First 1200 highly composite numbers</a>

%e a(0) = 1 because there is 1 highly composite number that has no prime factors; a(9) = 21 because there are 21 highly composite numbers that have 9 distinct prime factors.

%Y Cf. A002182.

%K nonn,look

%O 0,2

%A _Lekraj Beedassy_, Sep 01 2003

%E Corrected and extended by _Graeme McRae_, Apr 30 2006

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Last modified March 29 06:15 EDT 2024. Contains 371265 sequences. (Running on oeis4.)