Search: id:A130198
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%I A130198
%S A130198 0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,
%T A130198 0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,
%U A130198 1,1,0,1
%N A130198 Single paradiddlde. In percussion, the paradiddle is a four-note drum 
               sticking pattern consisting of two alternating notes followed by 
               two notes on the same hand.
%C A130198 Also the binary expansion of the constant 5/17 = 2^(-2)+2^(-5)+2^(-7)+... 
               [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 27 2009]
%H A130198 Wikipedia, <a href="http://en.wikipedia.org/wiki/Paradiddle">Paradiddle</
               a>
%F A130198 a(n)=(1/56)*{8*(n mod 8)+[(n+1) mod 8]-6*[(n+2) mod 8]+8*[(n+3) mod 8]-6*[(n+4) 
               mod 8]+[(n+5) mod 8]+8*[(n+6) mod 8]-6*[(n+7) mod 8]}, with n>=0. 
               - Paolo P. Lava (ppl(AT)spl.at), Nov 09 2007
%F A130198 a(n)=a(n-8)=a(n-1)-a(n-4)+a(n-5). G.f.: -x*(1+x^3-x)/((x-1)*(1+x^4). 
               [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 27 2009]
%o A130198 (PARI) a(n)=((n%8>3)+(n%4==1))%2 [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), 
               Mar 19 2009]
%o A130198 (PARI) a(n)=210\2^(n%8)%2; [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), 
               Mar 24 2009]
%Y A130198 Cf. A121262, A131078. [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), 
               Mar 19 2009]
%Y A130198 Sequence in context: A059620 A083651 A111748 this_sequence A104893 A104894 
               A071986
%Y A130198 Adjacent sequences: A130195 A130196 A130197 this_sequence A130199 A130200 
               A130201
%K A130198 nonn
%O A130198 0,1
%A A130198 Simone Severini (simoseve(AT)gmail.com), May 16 2007

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