%I #11 Apr 20 2022 15:47:02

%S 1,2,3,2,4,6,9,6,3,2,12,6,12,18,4,6,12,8,36,6,3,6,16,18,4,18,12,18,81,

%T 6,144,8,12,24,9,2,324,24,12,8,432,8,108,24,12,6,576,18,9,18,48,72,

%U 11664,6,4,54,12,216,972,24,3888,162,12,6,36,18,1728,24,12,24,8748,6,5184,648,27,18,16,72,34992,54,4,72

%N a(n) = A006047(A156552(n)).

%H Antti Karttunen, <a href="/A353330/b353330.txt">Table of n, a(n) for n = 1..10000</a>

%H <a href="/index/Pri#prime_indices">Index entries for sequences computed from indices in prime factorization</a>

%F a(n) = A006047(A156552(n)).

%o (PARI)

%o A006047(n) = { my(m=1, d); while(n, d = (n%3); m *= (1+d); n = (n-d)/3); m; };

%o A156552(n) = { my(f = factor(n), p, p2 = 1, res = 0); for(i = 1, #f~, p = 1 << (primepi(f[i, 1]) - 1); res += (p * p2 * (2^(f[i, 2]) - 1)); p2 <<= f[i, 2]); res };

%o A353330(n) = A006047(A156552(n));

%Y Cf. A006047, A156552.

%Y Cf. also A329903, A332814, A341353 and A353360.

%K nonn,look

%O 1,2

%A _Antti Karttunen_, Apr 20 2022