A358751 - OEIS

%I #12 Dec 01 2022 21:08:30

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

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

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

%N a(n) = 1 if bigomega(n) == 1 (mod 4), otherwise 0.

%C Equally, a(n) = 1 if A349905(n) == 1 (mod 4), otherwise 0.

%H Antti Karttunen, <a href="/A358751/b358751.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) = [A349905(n) == 1 (mod 4)], where [ ] is the Iverson bracket.

%F a(n) = A066829(n) - A358753(n).

%F a(n) = A358771(A003961(n)).

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

%o (PARI) A358751(n) = (1==(bigomega(n)%4));

%Y Characteristic function of A358761.

%Y Cf. A001222, A003415, A003961, A010051, A010873, A066829, A349905, A358753, A358771.

%K nonn

%O 1

%A _Antti Karttunen_, Nov 29 2022