A360590 - OEIS

%I #12 Feb 16 2023 17:13:18

%S 2,12,60,420,3456,60060,155520,1512000,13063680,169344000,1524096000,

%T 16765056000,217945728000,3705077376000,52306974720000,

%U 889218570240000,16895152834560000,328655183560704000,6244448487653376000,143622315216027648000,2922401892221779968000,67215243521100939264000

%N a(n) is the smallest number which can be represented as the product of n distinct integers > 1 in exactly n ways.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/UnorderedFactorization.html">Unordered Factorization</a>

%e For n = 2: 12 = 2 * 6 = 3 * 4.

%e For n = 3: 60 = 2 * 3 * 10 = 2 * 5 * 6 = 3 * 4 * 5.

%e For n = 4: 420 = 2 * 3 * 5 * 14 = 2 * 3 * 7 * 10 = 2 * 5 * 6 * 7 = 3 * 4 * 5 * 7.

%Y Cf. A045778, A330974.

%K nonn

%O 1,1

%A _Ilya Gutkovskiy_, Feb 12 2023

%E a(7)-a(10) from _Daniel Suteu_, Feb 13 2023

%E a(11)-a(22) from _Bert Dobbelaere_, Feb 16 2023