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A085561 Number of prime divisors of the partition numbers (counted with multiplicity). 3
0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 2, 1, 4, 5, 3, 4, 3, 4, 3, 6, 3, 2, 5, 3, 5, 4, 4, 3, 4, 3, 4, 5, 3, 4, 1, 3, 4, 7, 5, 4, 3, 6, 4, 3, 4, 5, 3, 4, 3, 4, 5, 4, 5, 5, 3, 3, 5, 6, 3, 5, 5, 3, 5, 2, 9, 2, 5, 3, 8, 3, 3, 3, 7, 8, 2, 1, 5, 5, 6, 2, 6, 3, 6, 3, 5, 2, 5, 5, 2, 3, 2, 2, 8, 2, 15, 7, 5, 4, 6, 3, 3, 5, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,8
LINKS
FORMULA
a(n) = A001222(A000041(n)). - Andrew Howroyd, Dec 28 2017
MAPLE
with(numtheory):with(combinat):a:=proc(n) if n=0 then 0 else bigomega(numbpart(n)) fi end: seq(a(n), n=0..104); # Zerinvary Lajos, Apr 11 2008
MATHEMATICA
PrimeOmega[PartitionsP[Range[0, 110]]] (* Harvey P. Dale, Dec 26 2014 *)
PROG
(PARI) a(n)={bigomega(numbpart(n))} \\ Andrew Howroyd, Dec 28 2017
CROSSREFS
Sequence in context: A357633 A322997 A367315 * A260651 A116370 A261018
KEYWORD
nonn
AUTHOR
Jason Earls, Jul 05 2003
STATUS
approved

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)