A189103 Least common multiple of n! and its arithmetic derivative.

0, 2, 30, 264, 7320, 30960, 1592640, 38183040, 394450560, 2238969600, 275106585600, 4038941491200, 689773321036800, 20996629900646400, 111964387062528000, 2210304446558208000, 642338416210563072000, 19249748121316737024000, 6980209591900198477824000

Offset: 1

Author

Giorgio Balzarotti, Apr 16 2011

Keywords

• nonn

Examples

			n = 5: 5! = 120, 120' = 244, lcm(120,244) = 7320 -> a(5) = 7320
		

Links

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

Crossrefs

Cf. A068311, A083346, A083346, A085731, A086130, A189100, A189102.

Formula

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