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A178647 Decimal expansion of fraction falling within +/- 1 standard deviation of the mean assuming a normal distribution. 3
6, 8, 2, 6, 8, 9, 4, 9, 2, 1, 3, 7, 0, 8, 5, 8, 9, 7, 1, 7, 0, 4, 6, 5, 0, 9, 1, 2, 6, 4, 0, 7, 5, 8, 4, 4, 9, 5, 5, 8, 2, 5, 9, 3, 3, 4, 5, 3, 2, 0, 8, 7, 8, 1, 9, 7, 4, 7, 8, 8, 9, 0, 0, 4, 8, 5, 9, 8, 2, 8, 8, 3, 9, 7, 4, 4, 0, 9, 6, 5, 9, 0, 0, 1, 7, 6, 9, 8, 3, 6, 8, 1, 1, 2, 7, 8, 6, 5, 5, 0, 5, 6, 5, 4, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Rick L. Shepherd, Table of n, a(n) for n = 0..10000

Wikipedia, 68-95-99.7 rule

Eric Weisstein's World of Mathematics, Erf

FORMULA

erf(1/sqrt(2)) [Jean-Fran├žois Alcover, May 29 2013]

EXAMPLE

0.6826894921370858971704650912640758449558259334532087819747889004859...

MATHEMATICA

RealDigits[(1 + Erf[1/Sqrt@2])/2 - (1 + Erf[ -1/Sqrt@2])/2, 10, 111][[1]] [From Robert G. Wilson v, Jun 01 2010]

PROG

(Matlab) 0.5*(1+erf(1/sqrt(2)))- 0.5*(1+erf(-1/sqrt(2)))

(PARI) (erfc(-1/sqrt(2))-erfc(1/sqrt(2)))/2 \\ Charles R Greathouse IV, Sep 04 2012

(PARI) 1 - erfc(1/sqrt(2)) \\ Rick L. Shepherd, Mar 05 2014

CROSSREFS

Cf. A110894.

Sequence in context: A161015 A154564 A152914 * A093204 A054512 A197267

Adjacent sequences:  A178644 A178645 A178646 * A178648 A178649 A178650

KEYWORD

nonn,cons

AUTHOR

Joost de Winter, May 31 2010

EXTENSIONS

More terms from Robert G. Wilson v, Jun 01 2010

Edited by N. J. A. Sloane, Jun 07 2010

STATUS

approved

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Last modified September 1 16:57 EDT 2014. Contains 246309 sequences.