

A045767


Number of prime factors of triple factorials n!!! (A007661), with multiplicity.


1



0, 1, 1, 2, 2, 3, 3, 5, 5, 5, 6, 8, 6, 8, 10, 10, 9, 13, 11, 12, 15, 13, 13, 19, 15, 15, 22, 18, 16, 25, 19, 21, 27, 21, 23, 31, 22, 25, 33, 26, 26, 36, 27, 29, 39, 29, 30, 44, 31, 33, 46, 34, 34, 50, 36, 38, 52, 38, 39, 56, 39, 41, 59, 45, 43, 62, 46, 46, 64, 49, 47, 69, 50, 49
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OFFSET

1,4


LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000


MATHEMATICA

Rest[PrimeOmega/@RecurrenceTable[{a[0]==a[1]==1, a[2]==2, a[n]==n*a[n3]}, a, {n, 80}]] (* Harvey P. Dale, May 17 2012 *)
Table[PrimeOmega[Times@@Range[n, 1, 3]], {n, 80}] (* Harvey P. Dale, Apr 11 2020 *)


CROSSREFS

Sequence in context: A072729 A057872 A059974 * A108221 A169682 A082524
Adjacent sequences: A045764 A045765 A045766 * A045768 A045769 A045770


KEYWORD

nonn,easy


AUTHOR

Jeff Burch


STATUS

approved



