A353566 - OEIS

%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