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%I #6 May 06 2022 12:48:58
%S 1,1,1,1,2,1,1,1,2,2,2,2,2,3,2,2,4,1,2,2,1,1,4,1,3,3,2,2,1,1,2,3,2,2,
%T 3,3,5,2,2,2,2,1,4,3,3,2,3,2,3,1,3,3,3,2,2,4,3,3,3,4,3,1,4,3,4,3,2,2,
%U 2,5,1,3,4,3,3,2,2,4,3,3,2,3,7,2,3,1,4,2,3,1,2
%N Number of prime factors of cyclotomic(n,6), which is A019324(n), the value of the n-th cyclotomic polynomial evaluated at x=6.
%C The Mobius transform of this sequence yields A057955, number of prime factors of 6^n-1.
%D See references at A085021
%H Max Alekseyev, <a href="/A085031/b085031.txt">Table of n, a(n) for n = 1..420</a>
%t Table[Plus@@Transpose[FactorInteger[Cyclotomic[n, 6]]][[2]], {n, 1, 100}]
%Y omega(Phi(n,x)): A085021 (x=2), A085028 (x=3), A085029 (x=4), A085030 (x=5), this sequence (x=6), A085032 (x=7), A085033 (x=8), A085034 (x=9), A085035 (x=10).
%Y Cf. A019324, A057955, A059888, A274907.
%K nonn
%O 1,5
%A _T. D. Noe_, Jun 19 2003
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