

A144672


Numbers x,y,z such that UnitarySigma(x) = UnitarySigma(y) = UnitarySigma(z) = 3*(x*y*z)^(1/2)/( x^(1/2) + 8*y^(1/2)  5*z^(1/2)), z<=y<=x; sequence gives x.


4



2, 20, 24, 360, 816, 1056, 12240, 15840, 29120, 181632, 337977, 2724480, 93358848, 1400382720
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


COMMENTS

a(11) is the smallest term for x!=y, y!=z, x!=z.
If x=y=z then we get multiply unitary perfect numbers such that UnitarySigma(x)=3x/2.


LINKS



EXAMPLE

Factorization of a(11) : 17*3^2*47^2.


CROSSREFS



KEYWORD

nonn,more


AUTHOR



STATUS

approved



