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A257089 a(n) = log_3 (A256689(n)).

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%I A257089 #15 Apr 16 2015 15:27:11
%S A257089 0,1,1,2,1,2,1,4,2,2,1,3,1,2,2,5,1,3,1,3,2,2,1,5,2,2,4,3,1,3,1,6,2,2,
%T A257089 2,4,1,2,2,5,1,3,1,3,3,2,1,6,2,3,2,3,1,5,2,5,2,2,1,4,1,2,3,8,2,3,1,3,
%U A257089 2,3,1,6,1,2,3,3,2,3,1,6,5,2,1,4,2,2,2,5,1,4,2,3,2,2,2,7,1,3,3,4
%N A257089 a(n) = log_3 (A256689(n)).
%C A257089 a(n) is the logarithm to the base 3 of the denominator of the Dirichlet series of zeta(s)^(1/3). For details, see A256689.
%H A257089 Wolfgang Hintze, <a href="/A257089/b257089.txt">Table of n, a(n) for n = 1..500</a>
%F A257089 3^a(n) = A256689(n). a(n) = A007949(A256689(n)).
%Y A257089 Cf. A046645 (k = 2, log_2), A257089 (k = 3, log_3), A257090 (k = 4, log_2), A257091 (k = 5, log_5).
%K A257089 nonn
%O A257089 1,4
%A A257089 _Wolfgang Hintze_, Apr 16 2015