%I A011558
%S A011558 0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,
%T A011558 1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,
%U A011558 1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0
%N A011558 Expansion of (x+x^3)/(1+x+...+x^4) mod 2.
%C A011558 Multiplicative with a(5^e) = 0, a(p^e) = 1 otherwise. David W. Wilson 
               (davidwwilson(AT)comcast.net) Jun 12, 2005.
%D A011558 R. Gold, Characteristic linear sequences and their coset functions, J. 
               SIAM Applied. Math., 14 (1966), 980-985.
%H A011558 Michael Gilleland, <a href="selfsimilar.html">Some Self-Similar Integer 
               Sequences</a>
%F A011558 O.g.f.: x*sum(x^k,k=0..3)/(1-x^5). [From Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), 
               Feb 05 2009]
%F A011558 a(n)=(1/8)*{3*(n mod 4)+[(n+1) mod 4]+[(n+2) mod 4]-[(n+3) mod 4]}, with 
               n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Feb 11 2009]
%o A011558 (Mupad) numlib::jacobi(n^2,5)$ n=0..99 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               May 13 2008
%Y A011558 Cf. A000035, A011655, A109720 coprimality with 2, 3, 7, respectively. 
               [From Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), 
               Feb 05 2009]
%Y A011558 Sequence in context: A069513 A092248 A106743 this_sequence A100047 A080891 
               A112713
%Y A011558 Adjacent sequences: A011555 A011556 A011557 this_sequence A011559 A011560 
               A011561
%K A011558 nonn,mult
%O A011558 0,1
%A A011558 N. J. A. Sloane (njas(AT)research.att.com).