A354034 - OEIS

A354034

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

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, 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, 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

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OFFSET

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..65537

Index entries for characteristic functions

FORMULA

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

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

MATHEMATICA

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

PROG

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