login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A066562 Smallest Bell number (A000110) divisible by n, if such a number exists, otherwise 0. 5
1, 2, 15, 52, 5, 4140, 203, 0, 4140, 4140, 10293358946226376485095653, 4140, 52, 51724158235372, 15, 0, 4506715738447323, 4140, 21147, 4140, 21147, 1052928518014714166107781298021583534928402714242132, 4140, 0, 115975, 52, 82864869804, 51724158235372, 203, 4140 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

No Bell number is divisible by 8. - John W. Layman, Jan 02 2002

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 1..134

J. W. Layman, Maximum zero strings of Bell numbers modulo primes, J. Comb. Th. A40 (1985),161-168.

G. T. Williams, Numbers generated by the function e^(e^x-1), Am. Math. Monthly 52 (1945),323-327.

MATHEMATICA

b[ n_ ] := Nest[ Factor[ D[ #1, x ] ] &, Exp[ Exp[ x - 1 ] - 1 ], n ] /. (x -> 1); Do[ k = 1; While[ c = b[ k ]; !IntegerQ[ c/n ], k++ ]; Print[ c ], {n, 1, 7} ]

CROSSREFS

Cf. A000110, A327432.

Sequence in context: A290631 A116693 A154565 * A073877 A248538 A248539

Adjacent sequences: A066559 A066560 A066561 * A066563 A066564 A066565

KEYWORD

nonn

AUTHOR

Amarnath Murthy, Dec 17 2001

EXTENSIONS

More terms from John W. Layman, Jan 02 2002

More terms from David Wasserman, Mar 31 2008

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 4 15:46 EST 2023. Contains 360055 sequences. (Running on oeis4.)