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A073334
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The so-called "rhythmic infinity system" of Danish composer Per Norgard [Noergaard].
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0
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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; internal format)
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OFFSET
| 0,1
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COMMENTS
| The composer Per Norgard's name is also written in the OEIS as Per Noergaard.
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REFERENCES
| J.-P. Allouche and J. Shallit, The ring of k-regular sequences, II, Theoret. Computer Sci., 307 (2003), 3-29.
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.
Jeffrey Shallit, The mathematics of Per Noergaard's rhythmic infinity system, Fib. Q., 43 (2005), 262-268.
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LINKS
| J.-P. Allouche and J. Shallit, The Ring of k-regular Sequences, II
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FORMULA
| 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
| 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 7-th Fibonacci number is 13.
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CROSSREFS
| Cf. A005811, A000045.
Sequence in context: A152304 A021902 A136188 * A021740 A172370 A110641
Adjacent sequences: A073331 A073332 A073333 * A073335 A073336 A073337
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KEYWORD
| nonn
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AUTHOR
| Jeffrey Shallit (shallit(AT)graceland.uwaterloo.ca), Aug 25 2002
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