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 A246765 Decimal expansion of a limit associated with the asymptotic number of ways of writing a number as a sum of powers of 2, with each power used at most twice (cardinality of "alternating bit sets" of a given number, also known as Stern's diatomic sequence). 0
 9, 5, 8, 8, 5, 4, 1, 9, 0, 8, 2, 4, 7, 6, 7, 3, 8, 3, 2, 0, 9, 0, 9, 4, 3, 0, 4, 2, 0, 3, 6, 5, 9, 2, 9, 5, 7, 4, 8, 6, 8, 2, 9, 9, 1, 0, 0, 5, 8, 5, 6, 9, 1, 4, 9, 1, 0, 0, 1, 9, 6, 7, 9, 2, 5, 9, 6, 5, 1, 8, 4, 0, 2, 1, 2, 3, 0, 7, 9, 6, 0, 1, 6, 9, 0, 3, 4, 9, 0, 7, 2, 2, 5, 7, 2, 5, 2, 8, 5, 8, 6, 4, 2 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS See A002487. REFERENCES Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.16.3 Alternating bit sets, p. 148. LINKS Michael Coons and Jason Tyler, The maximal order of Stern’s diatomic sequence. arXiv:1307.1521v2 [math.NT] 17 Jun 2014 Steven R. Finch, Errata and Addenda to Mathematical Constants. p. 20. FORMULA 3^(log(phi)/log(2))/sqrt(5), where phi is the golden ratio. EXAMPLE 0.95885419082476738320909430420365929574868299100585691491... MATHEMATICA RealDigits[ 3^(Log[GoldenRatio]/Log[2]) / Sqrt[5], 10, 103] // First CROSSREFS Cf. A002487. Sequence in context: A146483 A090463 A272795 * A191759 A289505 A010543 Adjacent sequences:  A246762 A246763 A246764 * A246766 A246767 A246768 KEYWORD nonn,cons,easy AUTHOR Jean-François Alcover, Sep 03 2014 STATUS approved

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Last modified April 3 15:51 EDT 2020. Contains 333197 sequences. (Running on oeis4.)