

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
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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

JeanFrançois Alcover, Sep 03 2014


STATUS

approved



