cp's OEIS Frontend

A258057 First differences of the arithmetic derivative sequence A003415.

%I A258057 #20 Jun 10 2015 06:44:31
%S A258057 0,1,0,3,-3,4,-4,11,-6,1,-6,15,-15,8,-1,24,-31,20,-20,23,-14,3,-12,43,
%T A258057 -34,5,12,5,-31,30,-30,79,-66,5,-7,48,-59,20,-5,52,-67,40,-40,47,-9,
%U A258057 -14,-24,111,-98,31,-25,36,-55,80,-65,76,-70,9,-30,91,-91,32,18
%N A258057 First differences of the arithmetic derivative sequence A003415.
%C A258057 |a(A258765(n))| = n and |a(m)| != n for m < A258765(n). - _Reinhard Zumkeller_, Jun 10 2015
%H A258057 Alois P. Heinz, <a href="/A258057/b258057.txt">Table of n, a(n) for n = 0..10000</a>
%F A258057 a(n) = A003415(n+1) - A003415(n).
%p A258057 d:= n-> n*add(i[2]/i[1], i=ifactors(n)[2]):
%p A258057 a:= n-> d(n+1)-d(n):
%p A258057 seq(a(n), n=0..105);
%o A258057 (Haskell)
%o A258057 a258057 n = a258057_list !! n
%o A258057 a258057_list = zipWith (-) (tail a003415_list) a003415_list
%o A258057 -- _Reinhard Zumkeller_, Jun 10 2015
%Y A258057 Cf. A003415.
%Y A258057  Cf. A258765.
%K A258057 sign,look
%O A258057 0,4
%A A258057 _Alois P. Heinz_, Jun 08 2015