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a(n) is the largest number of distinct numbers whose product is A025487(n).
1

%I #11 Apr 19 2021 09:52:05

%S 1,2,2,3,3,3,3,4,4,3,4,4,4,4,4,4,5,4,5,5,5,5,5,5,4,5,5,5,5,5,5,4,5,6,

%T 5,6,5,5,6,5,6,6,6,6,6,5,6,6,6,6,5,6,6,6,6,6,6,6,6,6,6,6,5,6,6,6,7,6,

%U 6,7,6,6,7,7,6,7,7,6,6,5,7,6,7,7,7,7,7,6

%N a(n) is the largest number of distinct numbers whose product is A025487(n).

%H David A. Corneth, <a href="/A340033/b340033.txt">Table of n, a(n) for n = 1..10000</a>

%e a(11) = 4 as A025487(11) = 36, which can be expressed as a product of at most 4 distinct positive integers via 1 * 2 * 3 * 6.

%Y Cf. A025487, A338160.

%K nonn

%O 1,2

%A _David A. Corneth_, Feb 04 2021