A133011 - OEIS

%I #9 Mar 30 2012 17:33:49

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

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

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

%N Characteristic function of the Riemann zeta function: If n is a nearest integer to imaginary part of zero, then a(n)=0 else a(n)=1.

%C Also an interesting triangle read by row: See tabl.

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

%H <a href="/index/Z#zeta_function">Index entries for zeta function</a>.

%e a(30)=0 because 30 is the nearest integer to imaginary part of 4th nontrivial zero of Riemann zeta function.

%Y See A002410 for more information. Cf. A058303, A065434, A065452, A065453.

%K easy,nonn,tabl

%O 1,1

%A _Omar E. Pol_, Sep 13 2007