login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A075054 Smallest k such that (n+1)(n+2)...(n+k) is divisible by n!. 2
1, 2, 3, 4, 5, 4, 7, 8, 9, 10, 11, 12, 13, 14, 13, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 26, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 40, 43, 44, 43, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 64, 67, 68, 69, 70, 71, 72 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n) <= n. a(n) < n rarely, e.g. for n = 6, 15 etc. a(p) = p, p is a prime.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

EXAMPLE

a(6) = 4 as 7*8*9*10 is divisible by 6!= 720.

MATHEMATICA

dnf[n_]:=Module[{nf=n!, k=1}, While[!Divisible[Times@@Range[ n+1, n+k], nf], k++]; k]; Array[dnf, 80] (* Harvey P. Dale, Jun 19 2012 *)

CROSSREFS

Cf. A075055, A058008.

Sequence in context: A079867 A079869 A200322 * A158366 A101916 A100771

Adjacent sequences:  A075051 A075052 A075053 * A075055 A075056 A075057

KEYWORD

nonn

AUTHOR

Amarnath Murthy, Sep 07 2002

EXTENSIONS

More terms from Sascha Kurz, Feb 02 2003

Edited by Charles R Greathouse IV, Aug 02 2010

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified December 19 06:44 EST 2014. Contains 252177 sequences.