login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A076755 Nearest integer to the kurtosis excess of the divisors of n. 1

%I #8 Oct 20 2017 14:41:17

%S 1,1,2,1,2,1,2,2,2,1,3,1,2,2,2,1,3,1,3,2,2,1,4,2,2,2,3,1,4,1,3,2,2,2,

%T 4,1,2,2,4,1,4,1,3,4,2,1,5,2,3,2,3,1,4,2,4,2,2,1,6,1,2,4,3,2,4,1,3,2,

%U 4,1,6,1,2,3,3,2,4,1,5,3,2,1,6,2,2,2,4,1,6,2,3,2,2,2,6,1,3,4,4,1,4,1,4,5,2

%N Nearest integer to the kurtosis excess of the divisors of n.

%C Kurtosis measures the concentration of data around the peak and in the tails versus the concentration in the flanks and is defined to be the fourth central moment divided by the square of the variance.

%H Hans Havermann, <a href="/A076755/b076755.txt">Table of n, a(n) for n = 2..10000</a>

%t Table[Round[Kurtosis[Divisors[n]]], {n, 2, 150}]

%o (PARI) a(n)=local(s0,s1,s2,s3,s4); s0=numdiv(n); s1=sigma(n); s2=sigma(n,2); s3=sigma(n,3); s4=sigma(n,4); if(n<2,0,round(-3+s0^2*(s4*s0-4*s3*s1+3*s2^2)/(s0*s2 -s1^2)^2))

%K nonn

%O 2,3

%A _Joseph L. Pe_, Nov 12 2002

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 25 09:30 EDT 2024. Contains 371967 sequences. (Running on oeis4.)