A064030 Product of unitary divisors of n!.

1, 2, 36, 576, 207360000, 268738560000, 416336312719673760153600000000, 6984964247141514123629140377600000000, 300679807141675805997423113304381849600000000

Offset: 1

Author

Labos Elemer, Sep 13 2001

Keywords

• nonn

Examples

			n = 6 has 8 unitary divisors:{16,45,9,80,5,144,1,720}, a(6) = 720^4 = 268738560000
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..17

Crossrefs

Cf. A048656, A048657, A061537, A061538, A000142.

Programs

Mathematica

a[n_] := (n!)^(2^(PrimePi[n]-1)); Array[a, 10] (* Amiram Eldar, Jul 16 2019 *)

Formula

a(n)=(n!)^(A034444(n!)/2)