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A246822 Decimal expansion of the expected value of the function max(x-1,0) with respect to the normal distribution (with zero mean and unit standard deviation). 0
0, 8, 3, 3, 1, 5, 4, 7, 0, 5, 8, 7, 6, 8, 6, 2, 9, 8, 3, 8, 3, 0, 6, 2, 7, 3, 8, 5, 6, 7, 5, 9, 8, 5, 7, 7, 3, 0, 6, 5, 8, 4, 9, 3, 7, 4, 6, 4, 0, 3, 9, 4, 1, 6, 4, 7, 4, 9, 4, 9, 5, 3, 4, 5, 2, 4, 0, 9, 1, 5, 0, 5, 5, 5, 7, 2, 8, 8, 1, 2, 4, 0, 0, 9, 1, 9, 6, 2, 1, 3, 0, 9, 9, 5, 8, 1, 7, 3, 2, 2, 5, 7, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
1/sqrt(2*e*Pi) - (1/2)*erfc(1/sqrt(2)).
Also equals A240717*(1 - 1/A111129).
EXAMPLE
0.083315470587686298383062738567598577306584937464...
MATHEMATICA
Join[{0}, RealDigits[1/Sqrt[2*E*Pi] - (1/2)*Erfc[1/Sqrt[2]], 10, 102] // First]
PROG
(PARI) 1/sqrt(2*exp(1)*Pi) - (1/2)*erfc(1/sqrt(2)) \\ Michel Marcus, Sep 04 2014
CROSSREFS
Sequence in context: A197729 A369049 A010148 * A168356 A021016 A269296
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved

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Last modified February 21 22:50 EST 2024. Contains 370239 sequences. (Running on oeis4.)