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A336418
Numbers with a factorial number of divisors.
2
1, 2, 3, 5, 7, 11, 12, 13, 17, 18, 19, 20, 23, 28, 29, 31, 32, 37, 41, 43, 44, 45, 47, 50, 52, 53, 59, 61, 63, 67, 68, 71, 73, 75, 76, 79, 83, 89, 92, 97, 98, 99, 101, 103, 107, 109, 113, 116, 117, 124, 127, 131, 137, 139, 147, 148, 149, 151, 153, 157, 163
OFFSET
1,2
COMMENTS
Positive integers n such that A000005(n) belongs to A000142.
MATHEMATICA
nn=5; Select[Range[nn!], MemberQ[Array[Factorial, nn], Length[Divisors[#]]]&]
CROSSREFS
A000005 counts divisors.
A048656 counts squarefree divisors of n!.
A325617 counts permutations of the multiset of prime factors of n!.
A336414 counts divisors of n! with distinct prime exponents.
Sequence in context: A316793 A119251 A182358 * A212166 A293511 A336615
KEYWORD
nonn
AUTHOR
Gus Wiseman, Jul 27 2020
STATUS
approved