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, 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

Offset: 0

Author

Jean-François Alcover, Sep 04 2014

Keywords

• nonn
• cons
• easy

Examples

			0.083315470587686298383062738567598577306584937464...
		

Links

• Steven R. Finch, Errata and Addenda to Mathematical Constants, p. 52.

Crossrefs

Cf. A111129, A240717.

Programs

Mathematica

Join[{0}, RealDigits[1/Sqrt[2*E*Pi] - (1/2)*Erfc[1/Sqrt[2]], 10, 102] // First]

PARI

1/sqrt(2*exp(1)*Pi) - (1/2)*erfc(1/sqrt(2)) \\ Michel Marcus, Sep 04 2014

Formula

1/sqrt(2*e*Pi) - (1/2)*erfc(1/sqrt(2)).

Also equals A240717*(1 - 1/A111129).