A219337 Rounded frequency of population with score higher than mean +- n standard deviations.

2, 6, 44, 741, 31574, 3488556, 1013594692, 781364430891, 1607468795310696, 8860626201053673385, 131236127104980388766388, 5233794723805693339116465076, 562910255724699183203714725974687, 163474435977817298005300626019111283694

Offset: 0

Author

Joost de Winter, Nov 18 2012

Keywords

• nonn
• easy

Examples

			For example, 1 in 2 people have IQ greater than 100, about 1 in 6 people have IQ greater than 115, about 1 in 44 have IQ greater than 130, etc. (assuming normal IQ distribution with mean of 100 and standard deviation of 15)
		

Links

• Wikipedia, 68-95-99.7 rule

Crossrefs

Cf. A178647.

Programs

MATLAB

round(2/(1-erf(n/sqrt(2))))

Mathematica

Table[Round[2/(1 - Erf[n/Sqrt[2]])], {n, 0, 15}] (* T. D. Noe, Dec 10 2012 *)

PARI

a(n)=round(2/erfc(n/sqrt(2))) \\ Charles R Greathouse IV, Dec 10 2012

Extensions

Extended by T. D. Noe, Dec 10 2012