Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%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