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%I #8 Apr 29 2022 15:55:39
%S 1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
%T 0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
%U 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1
%N a(n) = 1 if n is a multiple of its prime shadow A181819(n), and 0 otherwise.
%H Antti Karttunen, <a href="/A353566/b353566.txt">Table of n, a(n) for n = 1..65537</a>
%H <a href="/index/Ch#char_fns">Index entries for characteristic functions</a>
%F a(n) = 1 if 0 == n mod A181819(n), and 0 otherwise.
%o (PARI) A353566(n) = (0==(n%factorback(apply(e->prime(e),(factor(n)[,2])))));
%Y Characteristic function of A325755.
%Y Cf. A181819, A353567 (inverse Möbius transform).
%K nonn
%O 1
%A _Antti Karttunen_, Apr 29 2022
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