Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Exponent of greatest power of 3 dividing the smallest number having exactly n divisors.
5

%I #20 Sep 13 2024 06:57:30

%S 0,0,0,1,0,1,0,1,2,1,0,1,0,1,2,1,0,2,0,1,2,1,0,2,4,1,2,1,0,2,0,1,2,1,

%T 4,2,0,1,2,1,0,2,0,1,2,1,0,2,6,4,2,1,0,2,4,1,2,1,0,2,0,1,2,3,4,2,0,1,

%U 2,4,0,2,0,1,4,1,6,2,0,3,2,1,0,2,4,1,2,1,0,2,6,1,2,1,4,2,0,6,2,4,0,2,0,1,4

%N Exponent of greatest power of 3 dividing the smallest number having exactly n divisors.

%H Amiram Eldar, <a href="/A099313/b099313.txt">Table of n, a(n) for n = 1..10000</a> (terms 1..2000 from Antti Karttunen computed from the b-file of A005179 provided by _Don Reble_)

%F a(n) = A007949(A005179(n)).

%t A005179 = Cases[Import["https://oeis.org/A005179/b005179.txt", "Table"], {_, _}][[All, 2]];

%t a[n_] := IntegerExponent[A005179[[n]], 3];

%t Array[a, 2000] (* _Jean-François Alcover_, Dec 10 2021 *)

%Y Cf. A005179, A007949.

%Y Cf. A099314, A099311, A099315.

%K nonn

%O 1,9

%A _Reinhard Zumkeller_, Oct 12 2004

%E More terms from _Antti Karttunen_, Oct 05 2017