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Number of highly composite numbers (definition 1, A002182) < 10^n.
7

%I #13 Aug 21 2019 05:36:30

%S 4,9,15,20,29,38,47,56,66,76,86,95,106,117,125,135,146,156,167,177,

%T 186,196,209,219,231,241,254,267,280,292,305,316,330,343,356,368,381,

%U 396,409,423,436,450,463,476,491,503,517,530,547,561,577,593,608,625,640

%N Number of highly composite numbers (definition 1, A002182) < 10^n.

%H Amiram Eldar, <a href="/A112781/b112781.txt">Table of n, a(n) for n = 1..10000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/HighlyCompositeNumber.html">Highly Composite Number</a>

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

%F Partial sums of A112780. - _Lekraj Beedassy_, Sep 02 2006

%e a(1) = 4 since there are four highly composite numbers < 10^1 {1,2,4,6}.

%Y Cf. A002182, A002183, A108602, A112778, A112779, A112780.

%K nonn

%O 1,1

%A _Ray Chandler_, Nov 11 2005