A358769 - OEIS

%I #8 Dec 01 2022 22:30:59

%S 0,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,

%T 0,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,

%U 0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,1

%N a(n) = 1 if n is of the form p * m^2, where p is a prime and m is a natural number >= 1, otherwise 0.

%H Antti Karttunen, <a href="/A358769/b358769.txt">Table of n, a(n) for n = 1..100000</a>

%H <a href="/index/Ch#char_fns">Index entries for characteristic functions</a>

%H <a href="/index/Eu#epf">Index entries for sequences computed from exponents in factorization of n</a>

%F a(n) = A010051(A007913(n)).

%F a(n) >= A010051(n).

%o (PARI) A358769(n) = isprime(core(n));

%Y Characteristic function of A229125.

%Y Cf. A007913, A010051, A358770.

%K nonn

%O 1

%A _Antti Karttunen_, Dec 01 2022