|
%I #9 Feb 01 2023 16:06:29
%S 0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
%T 0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
%U 0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1
%N a(n) = 1 if n is not multiple of 4, but its arithmetic derivative is, otherwise 0.
%H Antti Karttunen, <a href="/A360109/b360109.txt">Table of n, a(n) for n = 0..100000</a>
%H <a href="/index/Ch#char_fns">Index entries for characteristic functions</a>
%F a(n) = A166486(n) * A353494(n).
%o (PARI)
%o A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
%o A360109(n) = ((n%4)&&(0==(A003415(n)%4)));
%Y Characteristic function of A360110.
%Y Cf. A003415, A166486, A353494, A359828.
%Y After n=1 differs from A327932 for the first time at n=158, where a(158) = 0, while A327932(158) = 1.
%K nonn
%O 0
%A _Antti Karttunen_, Jan 31 2023
|
