Riordan array (1/(1+xc(-2x)), xc(-2x)/(1+xc(-2x))), c(x) the g.f. of A000108.

Terms

a(0) =1a(1) =-1a(2) =1a(3) =3a(4) =-4a(5) =1a(6) =-13a(7) =19a(8) =-7a(9) =1a(10) =67a(11) =-102a(12) =44a(13) =-10a(14) =1a(15) =-381a(16) =593a(17) =-278a(18) =78a(19) =-13a(20) =1a(21) =2307a(22) =-3640a(23) =1795a(24) =-568a(25) =121a(26) =-16a(27) =1a(28) =-14589a(29) =23231