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A342658
Number of prime factors in the n-th multiply perfect number, counted with multiplicity: a(n) = bigomega(A007691(n)).
4
0, 2, 3, 5, 5, 7, 7, 10, 8, 12, 9, 15, 13, 14, 15, 13, 14, 17, 17, 17, 18, 18, 19, 20, 19, 20, 20, 21, 16, 21, 22, 18, 24, 26, 22, 19, 24, 29, 19, 22, 31, 29, 21, 32, 31, 26, 28, 28, 33, 35, 34, 34, 37, 37, 35, 34, 35, 35, 36, 33, 38, 38, 37, 39, 42, 42, 39, 46, 40, 42, 48, 39, 38, 46, 40, 40, 47, 41, 44, 46, 43, 39
OFFSET
1,2
LINKS
FORMULA
a(n) = A001222(A007691(n)).
a(n) >= A134740(n).
MATHEMATICA
Select[Range[10^6], IntegerQ@ DivisorSigma[-1, #] &] (* or, using the b-file at A007691: *)
Map[PrimeOmega, DeleteCases[Import["https://oeis.org/A007691/b007691.txt", "Data"], _?(Length@ # == 0 &)][[1 ;; 82, -1]] ] (* Michael De Vlieger, Mar 19 2021 *)
CROSSREFS
Cf. also A134740, A342659, A342660.
Sequence in context: A115732 A246578 A048947 * A222312 A344404 A298676
KEYWORD
nonn,look
AUTHOR
Antti Karttunen, Mar 19 2021
STATUS
approved