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Arithmetic derivative of n*prime(n).
0

%I #3 Mar 30 2012 18:50:20

%S 1,5,8,32,16,71,24,236,147,213,42,604,54,401,391,1712,76,1299,86,1724,

%T 751,1049,106,3940,995,1541,2808,3452,138,3533,158,10512,1951,2675,

%U 1823,9096,194,3461,2711,11804,220,7463,234

%N Arithmetic derivative of n*prime(n).

%C a(n) = A003415(A033286(n))= A003415(n*A000040(n)).

%F a(n) = n + A000040(n)*A003415(n).

%e a(10) = A003415(A033286(10)) = A003415(A000040(10)*10) = A003415(29*10) = A003415(29)*10 + 29*A003415(10) = 1*10 + 29*(2*1 + 1*5) = 10 + 29*7 = 213.

%K nonn

%O 1,2

%A _Reinhard Zumkeller_, Apr 01 2002