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Number of superior highly composite numbers < 10^n.
1

%I #19 Aug 05 2019 06:37:55

%S 2,4,6,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,23,24,25,25,26,27,

%T 28,28,29,30,31,32,33,33,34,34,35,36,36,37,38,38,39,39,40,41,41,42,42,

%U 43,43,44,44,46,46,46,47,47,48,49,49,50,50,51,51,52,52,53

%N Number of superior highly composite numbers < 10^n.

%C Number of superior highly composite numbers (A002201) with at most n digits.

%H Amiram Eldar, <a href="/A189466/b189466.txt">Table of n, a(n) for n = 1..10000</a> (calculated using the b-file at A000705; terms 1..250 from Krzysztof Ostrowski)

%H T. D. Noe, <a href="http://oeis.org/A002201/b002201.txt">List of superior highly composite numbers</a>

%e a(2) = 4 since there are 4 superior highly composite numbers < 10^2 {2,6,12,60}

%Y Cf. A000705, A002201, A112781.

%K nonn

%O 1,1

%A _Krzysztof Ostrowski_, Apr 22 2011