d(sigma(n)) = sigma(d(n))

Leroy Quet qq-quet at mindspring.com
Tue Jan 24 20:45:40 CET 2006


Is the sequence of n's such that d(sigma(n)) = sigma(d(n)) in the EIS?

d(n) is the number of divisors of n. sigma(n) is the sum of the divisors 
of n.

In other words, the sequence I wonder about is those n's such that
A062068(n) = A062069(n).

It begins 1,3,...
(And 49, for example, is in there too, because d(sigma(49)) = d(57) = 4, 
and sigma(d(49)) = sigma(3) = 4.)

Is this sequence infinite?

thanks,
Leroy Quet





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