id:A122378 - OEIS Search Results

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Numbers n such that n^2 > S(n)!, where S(n)! is the smallest factorial divisible by n.

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2, 3, 6, 8, 12, 15, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 224, 240, 252, 280, 288, 315, 320, 336, 360, 384, 420, 448, 480, 504, 560, 576, 630, 640, 648, 672, 720, 756, 810, 840, 864, 896, 945, 960, 1008, 1080 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`It is conjectured that n^2 < S(n)! for almost all n.`
	REFERENCES	`J. Sondow, A geometric proof that e is irrational and a new measure of its irrationality, Amer. Math. Monthly 113 (2006) 637-641.`
	LINKS	`I ndex entries for sequences related to factorial numbers.` `Eric Weisstein's World of Mathematics, Smarandache Function`
	EXAMPLE	`15^2 = 225 > 120 = 5! = S(15)!, so 15 is a member.`
	CROSSREFS	`Cf. A000290, A002034, A057109, A092495, A122379, A122380.` `Sequence in context: A103567 A131723 A035106 this_sequence A111242 A133582 A085642` `Adjacent sequences: A122375 A122376 A122377 this_sequence A122379 A122380 A122381`
	KEYWORD	`nonn`
	AUTHOR	`Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Sep 03 2006`

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.

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