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A104412 Number of prime factors, with multiplicity, of the pentanacci numbers A001591. 5

%I #24 May 16 2021 03:08:33

%S 0,0,1,2,3,4,1,1,5,3,5,6,2,4,6,5,9,6,2,2,6,4,6,7,1,3,3,6,4,7,4,2,7,3,

%T 9,7,3,2,2,8,9,8,2,4,11,7,9,7,7,2,4,5,6,7,3,2,7,7,13,8,4,5,5,6,10,5,4,

%U 7,11,7,8,9,4,5,4,8,7,8,4,5,6,5,10,12,2,4,5,9,12,11,7,4,13

%N Number of prime factors, with multiplicity, of the pentanacci numbers A001591.

%C Prime pentanacci numbers (A105757) correspond to 1s in the sequence, semiprimes to 2, and so forth.

%H Amiram Eldar, <a href="/A104412/b104412.txt">Table of n, a(n) for n = 4..237</a>

%H (terms 4..124 from Charles R Greathouse IV) [offset adapted by _Georg Fischer_, Jan 04 2021]

%F a(n) = A001222(A001591(n)). a(n) = bigomega(A001591(n)).

%t PrimeOmega/@Drop[LinearRecurrence[{1,1,1,1,1},{0,0,0,0,1},100],4] (* _Harvey P. Dale_, Mar 30 2019 *)

%Y Cf. A001591, A001222, A104411.

%K nonn

%O 4,4

%A _Jonathan Vos Post_, Mar 05 2005

%E Offset corrected by _Joerg Arndt_, Dec 19 2020

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Last modified March 29 04:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)