A345694 - OEIS

A345694

For 1<=x<=n, 1<=y<=n with gcd(x,y)=1, write 1 = gcd(x,y) = u*x+v*y with u,v minimal; a(n) = m^2*s, where s is the population variance of the values of |u| and m is the number of such values.

0, 2, 12, 28, 124, 168, 696, 1254, 2800, 3734, 9684, 13282, 27576, 34818, 51828, 71660, 129380, 153172, 254624, 312716, 413774, 496600, 767976, 879284, 1219286, 1422992, 1845842, 2173556, 3043292, 3345884, 4556174, 5288806, 6365966, 7188082, 8786288, 9615066

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OFFSET

1,2

COMMENTS

The factor m^2 is to ensure that a(n) is an integer.

A345429(n) = m*mu where mu is the mean of the values of |u|.

The population standard deviation sqrt(s) appears to grow linearly with n.

LINKS

Table of n, a(n) for n=1..36.

PROG

(Python)

from statistics import pvariance