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Number of highly composite numbers (definition 1, A002182) with n decimal digits.
5

%I #12 Aug 21 2019 05:37:24

%S 4,5,6,5,9,9,9,9,10,10,10,9,11,11,8,10,11,10,11,10,9,10,13,10,12,10,

%T 13,13,13,12,13,11,14,13,13,12,13,15,13,14,13,14,13,13,15,12,14,13,17,

%U 14,16,16,15,17,15,19,15,18,15,16,17,16,17,16,15,19,15,19,14,18,14,19,17

%N Number of highly composite numbers (definition 1, A002182) with n decimal digits.

%H Amiram Eldar, <a href="/A112780/b112780.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 First differences of A112781. - _Amiram Eldar_, Jul 02 2019

%e a(1) = 4 since there are four highly composite numbers with one decimal digit {1,2,4,6}.

%Y Cf. A002182, A002183, A108602, A112778, A112779, A112781.

%K nonn,look,base

%O 1,1

%A _Ray Chandler_, Nov 11 2005