login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A245652 Decimal expansion of a coefficient associated with the asymptotics of the average distance between a vertex and the root of a random rooted tree. 1
1, 1, 3, 6, 5, 5, 9, 9, 1, 8, 7, 8, 6, 6, 0, 0, 6, 4, 3, 2, 3, 6, 0, 3, 4, 3, 6, 6, 1, 4, 0, 9, 5, 3, 4, 4, 7, 3, 4, 3, 8, 2, 2, 8, 7, 5, 0, 3, 4, 3, 8, 3, 3, 2, 6, 1, 6, 7, 2, 6, 3, 8, 1, 5, 6, 8, 4, 3, 1, 1, 4, 7, 2, 4, 7, 9, 4, 4, 7, 9, 4, 8, 7, 4, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,3

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.6 Otter's Tree Enumeration Constants, p. 304.

LINKS

Table of n, a(n) for n=1..85.

Eric Weisstein's MathWorld, Tree

FORMULA

Average distance for n vertices ~ (1/2)*(2*Pi/beta)^(1/3)*n^(1/2).

EXAMPLE

1.1365599187866006432360343661409534473438228750343833261672638156843...

MATHEMATICA

beta = 0.53494960614230701455037971105206839814311651405699009397707681023752321788064067239783; (* after A086308 and Vaclav Kotesovec's computation *) RealDigits[(1/2)*(2*Pi/beta)^(1/3), 10, 85] // First

CROSSREFS

Cf. A086308, A245653.

Sequence in context: A102370 A291050 A268981 * A106109 A275925 A282581

Adjacent sequences:  A245649 A245650 A245651 * A245653 A245654 A245655

KEYWORD

nonn,cons,more

AUTHOR

Jean-Fran├žois Alcover, Jul 28 2014

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 17 03:06 EST 2019. Contains 329216 sequences. (Running on oeis4.)