%I M3817 #17 May 11 2017 11:47:57
%S 0,0,1,5,11,-203,-17207,-3607,1408301,8181503,-3299598169,
%T -14983154641,-449428440959,2480887997789,19076621521399973,
%U -31806561859970819,-3485566370059659659,-2180443004193000007,54188073629843061671671
%N Numerators of an asymptotic expansion for the number of forests on n nodes (A001858).
%C 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 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%D L. Takacs, On the number of distinct forests, SIAM J. Discrete Math., 3 (1990), 574-581.
%F a(n) = numerator(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 Cf. A006573, A001858, A111999.
%K sign,frac
%O 0,4
%A _N. J. A. Sloane_.
%E a(10) and a(11) corrected and more terms from _Sean A. Irvine_, May 11 2017