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A245653
Decimal expansion of a coefficient associated with the asymptotics of the variance of the distance between a vertex and the root of a random rooted tree.
1
3, 5, 2, 9, 6, 2, 2, 2, 2, 9, 0, 5, 8, 7, 7, 1, 1, 1, 6, 0, 8, 0, 3, 4, 8, 7, 4, 4, 0, 4, 9, 9, 6, 1, 2, 9, 2, 9, 2, 7, 5, 2, 5, 3, 9, 5, 3, 0, 6, 2, 3, 2, 2, 3, 3, 8, 9, 5, 6, 7, 2, 5, 5, 8, 1, 9, 7, 6, 2, 7, 4, 0, 5, 8, 3, 3, 4, 8, 6, 4, 6, 1, 0, 4, 1
OFFSET
0,1
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.6 Otter's Tree Enumeration Constants, p. 304.
LINKS
Eric Weisstein's World of Mathematics, Tree.
FORMULA
Variance of distance for n vertices ~ ((4-Pi)/(4*Pi))*(2*Pi/beta)^(2/3)*n.
EXAMPLE
0.35296222290587711160803487440499612929275253953062322338956725581976274...
MATHEMATICA
beta = 0.53494960614230701455037971105206839814311651405699009397707681023752321788064067239783; (* after A086308 and Vaclav Kotesovec's computation *) RealDigits[((4-Pi)/(4*Pi))*(2*Pi/beta)^(2/3), 10, 85] // First
CROSSREFS
Sequence in context: A275846 A273668 A356472 * A209748 A065172 A026212
KEYWORD
nonn,cons,more
AUTHOR
STATUS
approved