cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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.

This page as a plain text file.
%I A245652 #12 Feb 16 2025 08:33:23
%S A245652 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,
%T A245652 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,
%U A245652 1,1,4,7,2,4,7,9,4,4,7,9,4,8,7,4,8
%N 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.
%D A245652 Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.6 Otter's Tree Enumeration Constants, pp. 304, 308.
%H A245652 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Tree.html">Tree</a>.
%F A245652 Average distance for n vertices ~ (1/2)*(2*Pi/beta)^(1/3)*n^(1/2).
%e A245652 1.1365599187866006432360343661409534473438228750343833261672638156843...
%t A245652 beta = 0.53494960614230701455037971105206839814311651405699009397707681023752321788064067239783; (* after A086308 and _Vaclav Kotesovec_'s computation *) RealDigits[(1/2)*(2*Pi/beta)^(1/3), 10, 85] // First
%Y A245652 Cf. A086308, A245653.
%K A245652 nonn,cons,more
%O A245652 1,3
%A A245652 _Jean-François Alcover_, Jul 28 2014