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 A073334 The so-called "rhythmic infinity system" of Danish composer Per Nørgård [Noergaard]. 2
 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)
 OFFSET 0,1 COMMENTS The composer Per Nørgård's name is also written in the OEIS as Per Noergaard. REFERENCES 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. LINKS Reinhard Zumkeller, Table of n, a(n) for n = 0..10000 J.-P. Allouche and J. Shallit, The ring of k-regular sequences, II, Theoret. Computer Sci., 307 (2003), 3-29. J.-P. Allouche and J. Shallit, The Ring of k-regular Sequences, II Jeffrey Shallit, The mathematics of Per Noergaard's rhythmic infinity system, Fib. Q., 43 (2005), 262-268. 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. a(n) = A000045(A005811(n)+4) for n > 0. - Reinhard Zumkeller, May 23 2013 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 7th Fibonacci number is 13. MATHEMATICA {3}~Join~Table[Fibonacci[Length@ Split@ IntegerDigits[n, 2] + 4], {n, 76}] (* Michael De Vlieger, Mar 10 2016 *) PROG (Haskell) a073334 0 = 3 a073334 n = a000045 \$ a005811 n + 4  -- Reinhard Zumkeller, May 23 2013 CROSSREFS Cf. A005811, A000045. Sequence in context: A152304 A021902 A136188 * A021740 A172370 A304026 Adjacent sequences:  A073331 A073332 A073333 * A073335 A073336 A073337 KEYWORD nonn,hear AUTHOR Jeffrey Shallit, Aug 25 2002 STATUS approved

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Last modified January 26 18:06 EST 2022. Contains 350599 sequences. (Running on oeis4.)