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A072107 a(n) = Sum_{k=1..n} A014963(k). 3

%I #12 May 05 2022 07:29:04

%S 1,3,6,8,13,14,21,23,26,27,38,39,52,53,54,56,73,74,93,94,95,96,119,

%T 120,125,126,129,130,159,160,191,193,194,195,196,197,234,235,236,237,

%U 278,279,322,323,324,325,372,373,380,381,382,383,436,437,438,439,440,441

%N a(n) = Sum_{k=1..n} A014963(k).

%C Is there an expression for lim_{n -> infinity} a(n)/n^2?

%C Equals row sums of triangle A140582. - _Gary W. Adamson_, May 17 2008

%H Amiram Eldar, <a href="/A072107/b072107.txt">Table of n, a(n) for n = 1..10000</a>

%t Accumulate[Table[Exp[MangoldtLambda[n]], {n, 1, 60}]] (* _Amiram Eldar_, May 05 2022 *)

%o (PARI) for(n=2,100,print1(1+sum(k=2,n,if(if(omega(k)-1,0,1)*component(component(factor(k),1),1),if(omega(k)-1,0,1)*component(component(factor(k),1),1),1)),","))

%Y Cf. A140582, A014963.

%K easy,nonn

%O 1,2

%A _Benoit Cloitre_, Jun 19 2002

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Last modified May 8 23:08 EDT 2024. Contains 372341 sequences. (Running on oeis4.)