A038056 Number of trees with n 2-colored nodes.
2, 3, 6, 18, 54, 189, 700, 2778, 11486, 49377, 217936, 984818, 4533004, 21198962, 100471862, 481754806, 2333465628, 11404047817, 56177574628, 278710061814, 1391617108600, 6988781174376, 35283390923324, 178990052273558, 912019786448570, 4665994686718118
Offset: 1
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Formula
G.f.: B(x) - B^2(x)/2 + B(x^2)/2, where B(x) is g.f. for A038055.