A245250 Decimal expansion of the average value of the Yekutieli-Mandelbrot parameter, that is the average number of maximal subtrees of an ordered binary tree requiring one less register than the whole tree.

3, 3, 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

Offset

1,1

References

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.6 Otter's Tree Enumeration Constants, p. 311.

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

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

Formula

2*G/(Pi*log(2))+5/2, where G is Catalan's constant (G ~ 0.915966).

Example

3.341266940724730471889348860254734362026317624560016898783179693499...

Mathematica

RealDigits[2*Catalan/(Pi*Log[2])+5/2, 10, 104] // First

Prog

(PARI) default(realprecision, 100); 2*Catalan/(Pi*log(2))+5/2 \\ G. C. Greubel, Aug 25 2018
(Magma) SetDefaultRealField(RealField(100)); R:=RealField(); 2*Catalan(R)/(Pi(R)*Log(2))+5/2; // G. C. Greubel, Aug 25 2018

Crossrefs

Cf. A006752.

Sequence in context: A082899 A249491 A309888 * A179561 A332518 A353662

Adjacent sequences: A245247 A245248 A245249 * A245251 A245252 A245253

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Jul 15 2014

Status

approved