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 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 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: A291050 A268981 A353909 * A106109 A275925 A282581 Adjacent sequences:  A245649 A245650 A245651 * A245653 A245654 A245655 KEYWORD nonn,cons,more AUTHOR Jean-François Alcover, Jul 28 2014 STATUS approved

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Last modified June 26 13:14 EDT 2022. Contains 354883 sequences. (Running on oeis4.)