A signed aerated and skewed version of A038137.

Terms

a(0) =1a(1) =0a(2) =1a(3) =-1a(4) =0a(5) =2a(6) =0a(7) =-2a(8) =0a(9) =3a(10) =1a(11) =0a(12) =-5a(13) =0a(14) =5a(15) =0a(16) =3a(17) =0a(18) =-10a(19) =0a(20) =8a(21) =-1a(22) =0a(23) =9a(24) =0a(25) =-20a(26) =0a(27) =13a(28) =0a(29) =-4