Question

a generalization of a theorem of lekkerkerker to ostrowski decomposition of natural numbers

Answer 1

Step-by-step explanation:

.. In addition to the generalization of Zeckendorf's Theorem, Lekkerkerker's theorem generalizes , and the average number of summands is C Lek n + d for some C Lek > 0. Further, the fluctuations of the number of summands above the mean converges to Gaussian behavior; see [3, 5, 7, 11, 12, 13, 14, 17, 18, 19, 20]. In this paper we pursue a related question, the distribution of gaps between summands in generalized Zeckendorf decompositions...

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