A108889 a(n) is n! divided by LCM of all composite numbers k such that n < k < prime(r) where prime(r-1)< n.

1, 2, 6, 24, 120, 720, 5040, 448, 36288, 3628800, 39916800, 479001600, 6227020800, 363242880, 81729648000, 20922789888000, 355687428096000, 6402373705728000, 121645100408832000, 5266021662720000, 2322315553259520000

Offset

1,2

Comments

As every k divides n!, LCM of all k's divides n!.

Links

Table of n, a(n) for n=1..21.

Example

a(8) = 8!/gcd(9, 10) = 40320/90 = 448.

Crossrefs

Cf. A109914.

Sequence in context: A177553 A090583 A248775 * A248772 A033645 A248769

Adjacent sequences: A108886 A108887 A108888 * A108890 A108891 A108892

Keyword

nonn,less

Author

Amarnath Murthy, Jul 16 2005

Extensions

Corrected and extended by David Wasserman, Mar 31 2008

Status

approved