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a(n) = min(d(n), d(A225546(n))), where d gives the number of divisors of n, A000005.
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%I #12 Jan 21 2020 18:22:27

%S 1,2,2,2,2,4,2,4,3,4,2,6,2,4,4,2,2,6,2,6,4,4,2,8,3,4,4,6,2,8,2,4,4,4,

%T 4,4,2,4,4,8,2,8,2,6,6,4,2,6,3,6,4,6,2,8,4,8,4,4,2,12,2,4,6,4,4,8,2,6,

%U 4,8,2,8,2,4,6,6,4,8,2,10,3,4,2,12,4,4,4,8,2,12,4,6,4,4,4,8,2,6,6,6,2,8,2,8,8

%N a(n) = min(d(n), d(A225546(n))), where d gives the number of divisors of n, A000005.

%C This is not equal to A000005(A331288(n)). The first difference is at n=100, where a(100) = 6, while A000005(A331288(100)) = 9. Note that A225546(100) = 243 and d(243) = 6 < d(100) = 9.

%H Antti Karttunen, <a href="/A331308/b331308.txt">Table of n, a(n) for n = 1..65537</a>

%F a(n) = min(A000005(n), A331309(n)).

%Y Cf. A000005, A225546, A331288, A331309, A331592.

%K nonn

%O 1,2

%A _Antti Karttunen_, Jan 21 2020