A189102 - OEIS

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A189102

Greatest common divisor of n! and its arithmetic derivative.

3

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,4

LINKS

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

FORMULA

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

EXAMPLE

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

CROSSREFS

A068311, A083346, A083346, A085731, A086130, A189100

Sequence in context: A198005 A027501 A341108 * A220778 A364763 A367891

Adjacent sequences: A189099 A189100 A189101 * A189103 A189104 A189105

KEYWORD

nonn

AUTHOR

Giorgio Balzarotti, Apr 16 2011

STATUS

approved