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Number of prime factors of 12^n + 1 (counted with multiplicity).
8

%I #7 Jan 04 2024 15:27:04

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

%T 4,5,7,4,5,11,4,5,6,5,4,12,3,5,5,5,10,9,5,5,10,7,9,11,8,6,10,5,6,15,5,

%U 9,11,4,5,12,10,3,10,5,8,17,5,6,9,4,6,15

%N Number of prime factors of 12^n + 1 (counted with multiplicity).

%H Max Alekseyev, <a href="/A366713/b366713.txt">Table of n, a(n) for n = 0..306</a>

%F a(n) = bigomega(12^n+1) = A001222(A178248(n)).

%t PrimeOmega[12^Range[70]+1]

%o (PARI) a(n)=bigomega(12^n+1)

%Y Cf. A178248, A001222, A054992, A057934, A057935, A057936, A057937, A057938, A057939, A057940, A057941, A366712, A366714, A366715, A366716, A366719, A366720, A366708, A366687.

%K nonn

%O 0,3

%A _Sean A. Irvine_, Oct 17 2023