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murthy amarnath amarnath_murthy at yahoo.com
Sun May 23 14:09:01 CEST 2004


Dear Neil and seq fans,
Does this idea make any sense?

1.Seq(1); Start of the least set of n successive
numbers whose sum of the number of divisors ( tau(r)
)is the least.
1,1,1,1,1,...
a(1) = 1, tau(1) = 1,a(2) = 1, tau(1) +tau(2) = 3,
a(3) = 1, tau(1) +tau(2) + tau(3) = 5, etc.
What is the first term >1?

2. Seq(2); The least possible sum of the number of
divisors of n successive numbers.
1,3,5,8,10,...

Similar sequences can be thought of for other
number-theoretic functions like sigma(n) etc.
thanks
regards
amarnath murthy




	
		
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