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A005168 n-th derivative of x^x at 1, divided by n.
(Formerly M0380)
2
1, 1, 1, 2, 2, 9, -6, 118, -568, 4716, -38160, 358126, -3662088, 41073096, -500013528, 6573808200, -92840971200, 1402148010528, -22554146644416, 385014881294496, -6952611764874240, 132427188835260480 (list; graph; refs; listen; history; internal format)
OFFSET

1,4

REFERENCES

R. K. Guy, The strong law of small numbers. Amer. Math. Monthly 95 (1988), no. 8, 697-712.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

T. D. Noe, Table of n, a(n) for n=1..100

MATHEMATICA

Rest[(NestList[ Factor[ D[ #1, x]] &, x^x, 23] /. (x -> 1))/Range[0, 23]] [From Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 10 2010]

CROSSREFS

Cf. A005727.

Sequence in context: A093589 A073315 A066320 * A011149 A021439 A198423

Adjacent sequences:  A005165 A005166 A005167 * A005169 A005170 A005171

KEYWORD

sign,easy,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), R. K. Guy

EXTENSIONS

One more term from Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 10 2010

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Last modified February 16 23:45 EST 2012. Contains 205978 sequences.