Alternating row sums of A352369.

Terms

a(0) =1a(1) =-1a(2) =-1a(3) =-1a(4) =5a(5) =49a(6) =259a(7) =741a(8) =-3263a(9) =-76915a(10) =-782089a(11) =-5173763a(12) =-9197123a(13) =389152919a(14) =8099637883a(15) =102525854939a(16) =853355714673a(17) =931100151549