Expansion of (1-x)*e^x/(2-e^x).

Terms

a(0) =1a(1) =1a(2) =2a(3) =8a(4) =46a(5) =332a(6) =2874a(7) =29024a(8) =334982a(9) =4349492a(10) =62749906a(11) =995818760a(12) =17239953438a(13) =323335939292