A219337 Rounded reciprocal fraction of samples from normal distribution that fall beyond mean + n standard deviations.

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

Offset

0,1

Links

Table of n, a(n) for n=0..13.

Wikipedia, 68-95-99.7 rule

Example

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)

Mathematica

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

Prog

(MATLAB) round(2/(1-erf(n/sqrt(2))))
(PARI) a(n)=round(2/erfc(n/sqrt(2))) \\ Charles R Greathouse IV, Dec 10 2012

Crossrefs

Cf. A178647, A275366.

Sequence in context: A332074 A171690 A259763 * A259482 A332757 A255015

Adjacent sequences: A219334 A219335 A219336 * A219338 A219339 A219340

Keyword

nonn,easy

Author

Joost de Winter, Nov 18 2012

Extensions

Extended by T. D. Noe, Dec 10 2012

Name edited by Andrei Zabolotskii, May 30 2026

Status

approved