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

1,2

Links

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

Formula

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

Example

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

Crossrefs

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

Sequence in context: A157054 A092355 A215237 * A368498 A300423 A300685

Adjacent sequences: A189100 A189101 A189102 * A189104 A189105 A189106

Keyword

nonn

Author

Giorgio Balzarotti, Apr 16 2011

Status

approved