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Number of distinct prime divisors of 8^n + 1.
10

%I #11 Jan 09 2024 18:46:33

%S 1,1,2,2,2,3,4,3,3,3,5,4,4,3,6,5,3,5,6,4,4,5,6,4,5,6,9,6,5,4,10,4,3,7,

%T 9,10,6,6,8,5,6,6,10,5,7,9,8,6,7,6,12,9,5,5,10,10,8,6,8,7,8,3,9,10,4,

%U 10,12,7,8,6,14,7,8,5,10,10,8,11,16,5,7,10

%N Number of distinct prime divisors of 8^n + 1.

%H Max Alekseyev, <a href="/A366655/b366655.txt">Table of n, a(n) for n = 0..502</a>

%F a(n) = omega(8^n+1) = A001221(A062395(n)).

%F a(n) = A046799(3*n). - _Max Alekseyev_, Jan 09 2024

%o (PARI) for(n = 0, 100, print1(omega(8^n + 1), ", "))

%Y Cf. A062395, A001221, A057936, A274905, A366651, A366632, A366656, A366657, A366658, A366671.

%Y Cf. A046799, A366580, A366605, A366615, A366627, A366636, A366664, A119704, A366686, A366712.

%K nonn

%O 0,3

%A _Sean A. Irvine_, Oct 15 2023