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A353555 a(n) = 1 if n is an even number with an even number of prime factors (counted with multiplicity), otherwise 0. 6

%I #12 May 02 2022 11:13:10

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

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

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

%N a(n) = 1 if n is an even number with an even number of prime factors (counted with multiplicity), otherwise 0.

%H Antti Karttunen, <a href="/A353555/b353555.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) = A059841(n) * A065043(n).

%F a(n) = A059841(n) - A353556(n).

%F a(n) = A065043(n) - A353557(n).

%F a(n) >= A353478(n).

%o (PARI) A353555(n) = ((!(n%2))&&(!(bigomega(n)%2)));

%Y Characteristic function of A063745.

%Y Cf. A059841, A065043, A353478, A353556, A353557, A353558.

%K nonn

%O 1

%A _Antti Karttunen_, May 01 2022

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Last modified August 29 09:35 EDT 2024. Contains 375511 sequences. (Running on oeis4.)