A189102 Greatest common divisor of n! and its arithmetic derivative.

1, 1, 1, 4, 4, 48, 48, 192, 1728, 34560, 34560, 414720, 414720, 2903040, 130636800, 2090188800, 2090188800, 25082265600, 25082265600, 501645312000, 31603654656000, 347640201216000, 347640201216000, 5562243219456000, 139056080486400000

Offset: 1

Author

Giorgio Balzarotti, Apr 16 2011

Keywords

• nonn

Examples

			n = 5: 5! = 120, 120' = 244, gcd(120,244) = 4 -> a(5) = 4
		

Links

• Nathaniel Johnston, Table of n, a(n) for n = 1..200

Crossrefs

A068311, A083346, A083346, A085731, A086130, A189100

Formula

a(n) = gcd(n!,n!') = gcd(A000142(n),A068311(n)).