Fibonacci matrix read by antidiagonals. (Inverse of A136158.)

Terms

a(0) =1a(1) =1a(2) =-1a(3) =3a(4) =-4a(5) =1a(6) =9a(7) =-15a(8) =7a(9) =-1a(10) =27a(11) =-54a(12) =36a(13) =-10a(14) =1a(15) =81a(16) =-189a(17) =162a(18) =-66a(19) =13a(20) =-1a(21) =243a(22) =-648a(23) =675a(24) =-360a(25) =105a(26) =-16a(27) =1a(28) =729a(29) =-2187