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A130198
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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.
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1
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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, 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, 1, 1, 0, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| 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]
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LINKS
| Wikipedia, Paradiddle
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FORMULA
| 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 (paoloplava(AT)gmail.com), Nov 09 2007
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]
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PROG
| (PARI) a(n)=((n%8>3)+(n%4==1))%2 [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Mar 19 2009]
(PARI) a(n)=210\2^(n%8)%2; [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Mar 24 2009]
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CROSSREFS
| Cf. A121262, A131078. [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Mar 19 2009]
Sequence in context: A059620 A083651 A111748 * A104893 A104894 A168393
Adjacent sequences: A130195 A130196 A130197 * A130199 A130200 A130201
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KEYWORD
| nonn
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AUTHOR
| Simone Severini (simoseve(AT)gmail.com), May 16 2007
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