login
a(n) = n-th divisor of the smallest positive integer with at least n divisors.
1

%I #12 Nov 17 2018 21:00:13

%S 1,2,4,6,6,12,12,24,36,48,30,60,30,40,60,120,90,180,120,240,90,120,

%T 180,360,120,144,180,240,360,720,420,840,315,420,630,1260,420,560,840,

%U 1680,315,360,420,504,630,840,1260,2520,360,420,504,560,630,720,840,1008

%N a(n) = n-th divisor of the smallest positive integer with at least n divisors.

%C a(n) = n-th divisor of A061799(n).

%e The smallest positive integer with at least 11 divisors is 60, which has 12 divisors.

%e So a(11) = the 11th divisor of 60, which is 30.

%t f[n_] := Block[{k = 1, d},While[d = Divisors[k]; Length[d] < n, k++ ];d[[n]]];Table[f[n], {n, 60}] (* _Ray Chandler_, Nov 11 2006 *)

%t Do[k = 1; While[Length[Divisors[k]] < n, k++ ]; Print[Divisors[k][[n]]], {n, 100}] (* _Ryan Propper_, Nov 12 2006 *)

%Y Cf. A061799.

%K nonn

%O 1,2

%A _Leroy Quet_, Nov 06 2006

%E Extended by _Ray Chandler_, Nov 11 2006

%E More terms from _Ryan Propper_, Nov 12 2006