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Number of divisors of m^2 where m is the smallest number with exactly n divisors.
2

%I #11 Apr 09 2024 03:24:20

%S 1,3,5,9,9,15,13,21,25,27,21,45,25,39,45,63,33,75,37,81,65,63,45,105,

%T 81,75,125,117,57,135,61,189,105,99,117,225,73,111,125,243,81,195,85,

%U 189,225,135,93,315,169,243,165,225,105,375,189,351,185,171,117,405,121,183

%N Number of divisors of m^2 where m is the smallest number with exactly n divisors.

%C Variant of A103578.

%H Amiram Eldar, <a href="/A141264/b141264.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = A000005((A005179(n))^2). - _R. J. Mathar_, Aug 31 2008

%e a(8) = 21 because the smallest number with 8 divisors is 24, 24^2 = 576 and 576 has 21 divisors.

%Y Cf. A000005, A005179, A103578.

%K nonn

%O 1,2

%A _J. Lowell_, Aug 30 2008

%E Extended beyond a(8) by _R. J. Mathar_, Sep 01 2008