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%I #12 Jul 25 2023 19:34:48
%S 3,2,2,2,3,1,2,3,3,2,4,1,2,2,3,2,5,1,4,1,4,2,3,3,4,2,5,2,6,1,5,2,3,2,
%T 3,1,5,2,8,2,5,2,3,3,5,2,7,2,7,4,5,2,5,1,5,3,6,2,4,3,4,3,5,2,4,1,5,3,
%U 7,3,6,2,6,3,7,4,4,2
%N Number of prime factors of cyclotomic(n,9), which is A019327(n), the value of the n-th cyclotomic polynomial evaluated at x=9.
%C The Mobius transform of this sequence yields A057952, number of prime factors of 9^n-1.
%D See references at A085021
%H Max Alekseyev, <a href="/A085034/b085034.txt">Table of n, a(n) for n = 1..690</a>
%t Table[Plus@@Transpose[FactorInteger[Cyclotomic[n, 9]]][[2]], {n, 1, 100}]
%Y omega(Phi(n,x)): A085021 (x=2), A085028 (x=3), A085029 (x=4), A085030 (x=5), A085031 (x=6), A085032 (x=7), A085033 (x=8), this sequence (x=9), A085035 (x=10).
%Y Cf. A019327, A057952, A059891, A274909.
%K nonn
%O 1,1
%A _T. D. Noe_, Jun 19 2003