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Number of prime factors of 12^n - 1 (counted with multiplicity).
9

%I #7 Jan 04 2024 13:31:34

%S 1,2,2,4,2,5,3,6,4,4,4,8,3,6,6,9,3,9,2,8,5,6,4,12,4,8,6,10,5,13,5,11,

%T 8,6,9,14,3,6,7,14,4,14,5,12,12,8,3,18,5,10,6,13,7,16,8,13,7,8,4,19,4,

%U 8,8,13,8,17,5,10,7,14,4,21,3,7,11,11,11,18,4

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

%H Max Alekseyev, <a href="/A366708/b366708.txt">Table of n, a(n) for n = 1..310</a>

%F a(n) = bigomega(12^n-1) = A001222(A024140(n)).

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

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

%Y Cf. A024140, A001222, A046051, A057951, A057952, A057953, A057954, A057955, A057956, A057957, A057958, A250288, A252170, A366707, A366709, A366682.

%K nonn

%O 1,2

%A _Sean A. Irvine_, Oct 17 2023