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A088303 Smallest integer value of n!/(m_1!*m_2!*...*m_k!), where 1=m_1 < m_2 < ... is the sequence of integers coprime to n. 1
1, 2, 3, 4, 10, 6, 420, 56, 63, 120, 1155, 792, 180180, 121080960, 5405400, 5765760, 14294280, 10585935360, 969969, 221707200, 219988969200, 853572720, 206137811880, 25700298624, 368103235500, 306261891936000, 9302704967556000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 1..748

EXAMPLE

a(9) = 9!/{1!*2!*4!*5!} = 63 which is not divisible by 7!.

MAPLE

A := proc (n) local x, i; x := n!; for i to n while x = floor(x) do if gcd(i, n) = 1 and `mod`(x, i!) = 0 then x := x/i! fi od; RETURN(x) end # Michael Lugo

PROG

(PARI) a(n)=my(N=n!); for(k=2, n, if(gcd(n, k)>1, next); if(N%k!, return(N), N/=k!)); N \\ Charles R Greathouse IV, Oct 20 2013

CROSSREFS

Cf. A088302, A074199.

Sequence in context: A143178 A084190 A203070 * A193858 A054930 A119798

Adjacent sequences:  A088300 A088301 A088302 * A088304 A088305 A088306

KEYWORD

nonn

AUTHOR

Amarnath Murthy, Sep 30 2003

EXTENSIONS

Corrected and extended by Ray Chandler, Oct 06 2003

Edited by Max Alekseyev, Mar 28 2015

STATUS

approved

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Last modified July 22 03:22 EDT 2017. Contains 289648 sequences.