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A135040 Decimal expansion of the unique root of equation N(-x) = N'(x), where N(x) is a cumulative standard normal distribution function, N'(x) = 1/Sqrt[ 2*Pi ]*Exp[ -(x^2)/2 ]. +0
1
3, 0, 2, 6, 3, 0, 8, 4, 0, 7, 1, 1, 5, 7, 2, 7, 4, 0, 8, 5, 2, 8, 4, 5, 6, 6, 3, 1, 8, 4, 2, 6, 8, 5, 1, 5, 3, 1, 3, 5, 5, 7, 8, 4, 3, 0, 7, 2, 2, 7, 5, 4, 5, 1, 5, 8, 4, 9, 2, 2, 3, 6, 3, 5, 4, 9, 2, 2, 2, 2, 5, 8, 5, 9, 6, 0, 0, 4, 6, 1, 6, 3, 6, 9, 6, 0, 7, 7, 1, 0, 0, 3, 5, 4, 6, 4, 5, 0, 2, 3, 4, 2, 9, 6, 1 (list; cons; graph; listen)
OFFSET

0,1

LINKS

Eric Weisstein's World of Mathematics, Standard Normal Distribution

Eric Weisstein's World of Mathematics, Normal Distribution Function

Eric Weisstein's World of Mathematics, Normal Distribution

EXAMPLE

c = 0.302630840711572740852845663184268515313557843072275451584922363\

549222258596004616369607710035464502342961838029774302651317854026343\

311543051137377884662641162929560548505229505755992871081254134068232\

824667734...

MATHEMATICA

FindRoot[ Exp[ -(x^2)/2 ] == Integrate[ Exp[ -(t^2)/2 ], {t, -Infinity, -x} ], {x, 0}]

CROSSREFS

Adjacent sequences: A135037 A135038 A135039 this_sequence A135041 A135042 A135043

Sequence in context: A058544 A112156 A072328 this_sequence A048733 A011075 A085550

KEYWORD

cons,nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Feb 29 2008, Mar 10 2008

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Last modified January 8 02:43 EST 2009. Contains 152824 sequences.


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