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%I #15 Feb 25 2023 17:06:09
%S 1,2,1,2,2,2,3,2,1,2,3,2,3,2,2,3,4,2,3,4,2,3,3,2,4,2,3,4,5,1,2,3,3,4,
%T 5,2,5,3,4,2,4,1,4,4,3,3,5,2,3,3,2,8,7,4,4,3,2,3,5,3,4,3,2,3,2,2,5,7,
%U 4,5,6,2,6,5,4,6,3,1,7,3,4,5,4,2
%N Number of prime factors of cyclotomic(n,8), which is A019326(n), the value of the n-th cyclotomic polynomial evaluated at x=8.
%C The Mobius transform of this sequence yields A057953, number of prime factors of 8^n-1.
%D See references at A085021
%H Max Alekseyev, <a href="/A085033/b085033.txt">Table of n, a(n) for n = 1..500</a>
%t Table[Plus@@Transpose[FactorInteger[Cyclotomic[n, 8]]][[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), this sequence (x=8), A085034 (x=9), A085035 (x=10).
%Y Cf. A019326, A057953, A059890, A274908.
%K nonn
%O 1,2
%A _T. D. Noe_, Jun 19 2003
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