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 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

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