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 A006573 M1828 #17 Jul 08 2025 16:49:49 %S A006573 1,1,1,2,8,16,384,768,3072,6144,1474560,589824,11796480,7864320, %T A006573 11890851840,23781703680,95126814720,27179089920,91321742131200, %U A006573 7305739370496,730573937049600,1461147874099200,385743038762188800,771486077524377600 %N A006573 Denominators of an asymptotic expansion for the number of forests on n nodes (A001858). %C A006573 Takacs Table 2 gives incorrect A006572(10)/A006573(10) = -137483257/61440 and A006572(11)/A006573(11) = -24971924401/983040. - _Sean A. Irvine_, May 11 2017 %D A006573 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). %D A006573 L. Takacs, On the number of distinct forests, SIAM J. Discrete Math., 3 (1990), 574-581. %F A006573 a(n) = denom(Sum_{i=1..floor(n/2)} (-1)^(i-1) * |A111999(n, 2*i-1)| / (2^(n-i) * (n-i)!)). - _Sean A. Irvine_, May 11 2017 %Y A006573 Cf. A006572, A001858, A111999. %K A006573 nonn,frac %O A006573 0,4 %A A006573 _N. J. A. Sloane_ %E A006573 a(10) and a(11) corrected and more terms from _Sean A. Irvine_, May 11 2017