Euler transform of (0, 1, -2, 4, -8, 16, ...), (cf. A122803).

Terms

a(0) =1a(1) =1a(2) =-1a(3) =3a(4) =-4a(5) =4a(6) =-2a(7) =2a(8) =2a(9) =-26a(10) =80a(11) =-168a(12) =351a(13) =-749a(14) =1485a(15) =-2779a(16) =5134a(17) =-9314a(18) =16318a(19) =-27522a(20) =44596a(21) =-68484a(22) =96148a(23) =-113172a(24) =77125a(25) =122309a(26) =-750801a(27) =2411307a(28) =-6424162a(29) =15607886