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A073334
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The so-called "rhythmic infinity system" of Danish composer Per Nørgård [Noergaard].
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2
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3, 5, 8, 5, 8, 13, 8, 5, 8, 13, 21, 13, 8, 13, 8, 5, 8, 13, 21, 13, 21, 34, 21, 13, 8, 13, 21, 13, 8, 13, 8, 5, 8, 13, 21, 13, 21, 34, 21, 13, 21, 34, 55, 34, 21, 34, 21, 13, 8, 13, 21, 13, 21, 34, 21, 13, 8, 13, 21, 13, 8, 13, 8, 5, 8, 13, 21, 13, 21, 34, 21, 13, 21, 34, 55, 34, 21
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,1
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COMMENTS
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The composer Per Nørgård's name is also written in the OEIS as Per Noergaard.
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REFERENCES
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Erling Kullberg, Beyond infinity: on the infinity series - the DNA of hierarchical music, in Anders Beyer, ed., The Music of Per Noergaard: Fourteen Interpretive Essays, Scolar Press, 1996, pp. 71-93.
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LINKS
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FORMULA
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a(n) = F(c(n)+4) where c(n) counts the blocks of consecutive identical symbols in the binary expansion of n and F() is the Fibonacci sequence.
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EXAMPLE
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a(5) = 13 since there are 3 blocks of consecutive identical systems in the binary expansion of 5 (namely, 101), 4+3 = 7 and the 7th Fibonacci number is 13.
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MATHEMATICA
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{3}~Join~Table[Fibonacci[Length@ Split@ IntegerDigits[n, 2] + 4], {n, 76}] (* Michael De Vlieger, Mar 10 2016 *)
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PROG
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(Haskell)
a073334 0 = 3
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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