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A122378 Numbers n such that n^2 > S(n)!, where S(n)! is the smallest factorial divisible by n. 4
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; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

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

Index entries for sequences related to factorial numbers.

J. Sondow, A geometric proof that e is irrational and a new measure of its irrationality

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: A131723 A198442 A035106 * A181687 A194881 A111242

Adjacent sequences:  A122375 A122376 A122377 * A122379 A122380 A122381

KEYWORD

nonn

AUTHOR

Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Sep 03 2006

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Last modified February 17 16:49 EST 2012. Contains 206058 sequences.