|
|
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.
|
|
1
|
|
|
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
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
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
|
|
|
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
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|