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A163626 The nth derivative of the logistic function written in terms of y, where y=1/(1+exp(-x)) +0
1
1, 1, -1, 1, -3, 2, 1, -7, 12, -6, 1, -15, 50, -60, 24, 1, -31, 180, -390, 360, -120, 1, -63, 602, -2100, 3360, -2520, 720, 1, -127, 1932, -10206, 25200, -31920, 20160, -5040, 1, -255, 6050, -46620, 166824, -317520, 332640, -181440, 40320, 1, -511, 18660 (list; table; graph; listen)
OFFSET

0,5

EXAMPLE

y=1/(1+exp(-x)) y^(0)=y y^(1)=y-y^2 y^(2)=y-3*y^2+2*y^3 y^(3)=y-7*y^2+12*y^3-6*y^4

CROSSREFS

A028246

Sequence in context: A122832 A056151 A134436 this_sequence A028246 A082038 A143774

Adjacent sequences: A163623 A163624 A163625 this_sequence A163627 A163628 A163629

KEYWORD

easy,sign,tabl

AUTHOR

Richard Scholtz (rscholtz(AT)ufl.edu), Aug 01 2009

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


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