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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

Table of n, a(n) for n=0..102.

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.)