A247036 - OEIS

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A247036

Decimal expansion of 2*G/(Pi*log(2)), a constant appearing in the average root bifurcation ratio of binary trees, where G is Catalan's constant.

8, 4, 1, 2, 6, 6, 9, 4, 0, 7, 2, 4, 7, 3, 0, 4, 7, 1, 8, 8, 9, 3, 4, 8, 8, 6, 0, 2, 5, 4, 7, 3, 4, 3, 6, 2, 0, 2, 6, 3, 1, 7, 6, 2, 4, 5, 6, 0, 0, 1, 6, 8, 9, 8, 7, 8, 3, 1, 7, 9, 6, 9, 3, 4, 9, 9, 1, 8, 5, 9, 6, 5, 2, 3, 3, 5, 1, 6, 3, 2, 3, 3, 4, 2, 4, 4, 4, 1, 9, 7, 2, 4, 3, 7, 1, 4, 6, 7, 3, 5, 7, 2, 5

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OFFSET

0,1

COMMENTS

Apart from initial digits the same as A245250.

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Sections 1.7 Catalan's constant p.54, and 5.6 Otter's Tree Enumeration Constants, p. 311.

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..10000

Yinsong Chen and Vladislav Kargin, On enumeration and entropy of ribbon tilings, The Electronic Journal of Combinatorics 30(2) (2023), #P2.15. See p. 3.

Helmut Prodinger, On a problem of Yekutieli and Mandelbrot about the bifurcation ratio of binary trees

EXAMPLE

0.84126694072473047188934886025473436202631762456...

MATHEMATICA

RealDigits[2 Catalan/(Pi*Log[2]), 10, 103] // First

PROG

(PARI) default(realprecision, 100); 2*Catalan/(Pi*log(2)) \\ G. C. Greubel, Aug 25 2018

(Magma) SetDefaultRealField(RealField(100)); R:=RealField(); 2*Catalan(R)/(Pi(R)*Log(2)); // G. C. Greubel, Aug 25 2018

CROSSREFS

Cf. A006752, A245250.

Sequence in context: A039662 A228496 A259616 * A371861 A202320 A011267

Adjacent sequences: A247033 A247034 A247035 * A247037 A247038 A247039

KEYWORD

nonn,cons,easy

AUTHOR

Jean-François Alcover, Sep 10 2014

STATUS

approved