5th binomial transform of (0,1,0,1,...), A000035.

Terms

a(0) =0a(1) =1a(2) =10a(3) =76a(4) =520a(5) =3376a(6) =21280a(7) =131776a(8) =807040a(9) =4907776a(10) =29708800a(11) =179301376a(12) =1080002560a(13) =6496792576a(14) =39047864320a(15) =234555621376