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%I #18 Jul 25 2023 19:58:48
%S 1,1,2,1,2,1,2,1,3,2,3,1,2,2,2,1,2,2,2,1,3,2,3,2,4,3,3,1,5,2,2,2,3,3,
%T 4,2,4,3,3,1,4,2,4,2,3,4,5,2,2,4,6,2,5,2,6,2,4,2,5,1,2,4,3,2,4,2,4,3,
%U 3,2,5,2,5,4,3,3,4,5,4,2,7,4,7,2,2,4,3,3,4,3,6,1,3,3,5,1,6,3,5,4
%N Number of prime factors of cyclotomic(n,4), which is A019322(n), the value of the n-th cyclotomic polynomial evaluated at x=4.
%C The Mobius transform of this sequence yields A057957, number of prime factors of 4^n-1.
%D See references at A085021
%H Max Alekseyev, <a href="/A085029/b085029.txt">Table of n, a(n) for n = 1..1122</a>
%t Table[Plus@@Transpose[FactorInteger[Cyclotomic[n, 4]]][[2]], {n, 1, 100}]
%Y omega(Phi(n,x)): A085021 (x=2), A085028 (x=3), this sequence (x=4), A085030 (x=5), A085031 (x=6), A085032 (x=7), A085033 (x=8), A085034 (x=9), A085035 (x=10).
%Y Cf. A019322, A057957.
%K nonn
%O 1,3
%A _T. D. Noe_, Jun 19 2003
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