Even entries (A048967) minus the odd entries (A001316) in row n of Pascal's triangle (A007318).

Terms

a(0) =-1a(1) =-2a(2) =0a(3) =-8a(4) =12a(5) =8a(6) =0a(7) =-128a(8) =252a(9) =472a(10) =840a(11) =1120a(12) =2112a(13) =128a(14) =0a(15) =-32768a(16) =65532a(17) =131000a(18) =261528a(19) =519648a(20) =1029192a(21) =1991728a(22) =3865664a(23) =6825984a(24) =13835328a(25) =21056128a(26) =39611520a(27) =20680192a(28) =134234112a(29) =32768