login
a(n) = 1 if n is an even number or a square, otherwise 0.
1

%I #12 May 17 2022 17:50:01

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

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

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

%N a(n) = 1 if n is an even number or a square, otherwise 0.

%H Antti Karttunen, <a href="/A354034/b354034.txt">Table of n, a(n) for n = 0..65537</a>

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

%F a(n) = A059841(n) + A098108(n).

%F For n >= 1, a(n) = 1 - A324908(n).

%t a[n_] := If[EvenQ[n] || IntegerQ[Sqrt[n]], 1, 0]; Array[a, 100, 0] (* _Amiram Eldar_, May 16 2022 *)

%o (PARI) A354034(n) = (!(n%2) || issquare(n));

%Y Characteristic function of A176693.

%Y Cf. A059841, A098108, A324908 (binary complement).

%K nonn

%O 0

%A _Antti Karttunen_, May 16 2022