%I #4 May 10 2013 12:45:29
%S 1,3,8,5,-156,-1253,48,116937,1236140,-4517689,-317599800,-3473788019,
%T 43408737540,2033846838675,19004486417504,-643679274285679,
%U -24665731809676452,-135665006897593601,15018201730467027960
%N Number of labeled trees with n nodes and even number of leaves minus number of labeled trees with n nodes and odd number of leaves.
%F Sum_{k=0..n} (-1)^k*n!/k!*stirling2(n-2, n-k).
%Y Cf. A055314.
%K sign
%O 2,2
%A _Vladeta Jovovic_, Jan 28 2004