Alternating row sums of A352366.

Terms

a(0) =1a(1) =-1a(2) =0a(3) =0a(4) =1a(5) =5a(6) =18a(7) =42a(8) =-58a(9) =-1664a(10) =-14502a(11) =-90574a(12) =-382846a(13) =114556a(14) =26040038a(15) =376126350a(16) =3773076517a(17) =28273327725a(18) =111536583430