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.
%I A346916 #11 Sep 02 2021 05:43:23 %S A346916 5,1,1,3,0,8,7,9,9,3,4,1,2,4,0,5,9,8,9,7,1,9,9,9,9,1,8,9,6,6,7,5,7,5, %T A346916 9,4,8,3,6,9,5,5,8,6,7,7,5,2,4,5,9,0,9,7,2,6,8,9,1,1,5,2,9,8,2,0,1,1, %U A346916 3,7,3,5,4,0,6,2,3,0,8,3,1,3,9,9,1,6,9,2,4,1,7,0,8,7,7,0,9,0,9,5,7,6,8,5,1 %N A346916 Decimal expansion of the limit as N->oo of the mean number of singletons per forest in the rooted forests of N vertices. %C A346916 There are A000081(N+1) rooted forests of N vertices and A087803(N) singletons in those forests, so the present constant is S = lim_{N->oo} A087803(N) / A000081(N+1). %C A346916 The respective asymptotic formulas for A000081 and A087803 show that S = 1/(d-1) where d=A051491 is the growth power of rooted trees and forests. %H A346916 Kevin Ryde, <a href="/A346916/b346916.txt">Table of n, a(n) for n = 0..1797</a> %F A346916 Equals 1/(A051491 - 1). %F A346916 Equals (A346915 - 2)/3. %e A346916 0.5113087993412405989719999189667575... %Y A346916 Cf. A051491 (rooted tree growth), A346915 (vpar mems). %Y A346916 Cf. A000081 (number of rooted forests), A087803 (total singletons). %Y A346916 Cf. A261124 (mean number of component trees). %K A346916 nonn,cons %O A346916 0,1 %A A346916 _Kevin Ryde_, Aug 07 2021