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Second arithmetic derivative of prime powers: a(n) = A068346(A000961(n)).
3

%I #13 Apr 16 2014 02:32:52

%S 0,0,0,4,0,0,16,5,0,0,80,0,0,0,7,27,0,0,176,0,0,0,0,9,0,0,0,640,0,0,0,

%T 0,216,0,0,0,0,0,0,0,0,13,55,0,1408,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,

%U 0,0,0,0,0,0,0,621,0,5120,0,0,0,0,0,0,0,19

%N Second arithmetic derivative of prime powers: a(n) = A068346(A000961(n)).

%C a(n) = A003415(A192015(n));

%C a(A000040(n)) = 0; a(A002808(n)) > 0.

%H Reinhard Zumkeller, <a href="/A192016/b192016.txt">Table of n, a(n) for n = 1..10000</a>

%o (Haskell)

%o a192016 = a068346 . a000961 -- _Reinhard Zumkeller_, Apr 16 2014

%K nonn

%O 1,4

%A _Reinhard Zumkeller_, Jun 26 2011