%I
%S 0,0,0,0,1,3,11,33,95,260,696,1816,4659,11795,29520,73267,180485,
%T 442157,1077856,2617726,6336551,15299287,36857178,88635225,212829307,
%U 510416549,1222826994,2927083468,7001510693,16737477645
%N Number of lobsters with n nodes that are not caterpillars.
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Caterpillar_tree">Caterpillar tree</a>
%F a(n) = A130131(n)  (2^(n4) + 2^[(n4)/2]).
%e All the trees of order less than 7 are caterpillars. Only one tree with 7 nodes is a lobster and is not a caterpillar, so a(3)=a(4)=a(5)=a(6)=0, and a(7)=1.
%Y Cf. A000055, A130131.
%K nonn
%O 3,6
%A _Washington Bomfim_, Feb 23 2011
