

A104412


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


5



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, 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, 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
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OFFSET

4,4


COMMENTS

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


LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 4..124 [offset adapted by Georg Fischer, Jan 04 2021]


FORMULA

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


MATHEMATICA

PrimeOmega/@Drop[LinearRecurrence[{1, 1, 1, 1, 1}, {0, 0, 0, 0, 1}, 100], 4] (* Harvey P. Dale, Mar 30 2019 *)


CROSSREFS

Cf. A001591, A001222, A104411.
Sequence in context: A277543 A190594 A338803 * A195451 A298160 A118310
Adjacent sequences: A104409 A104410 A104411 * A104413 A104414 A104415


KEYWORD

nonn


AUTHOR

Jonathan Vos Post, Mar 05 2005


EXTENSIONS

Offset corrected by Joerg Arndt, Dec 19 2020


STATUS

approved



