Excess of the number of even Motzkin n-paths (A107587) over the odd ones (A343386).

Terms

a(0) =1a(1) =1a(2) =0a(3) =-2a(4) =-3a(5) =1a(6) =11a(7) =15a(8) =-13a(9) =-77a(10) =-86a(11) =144a(12) =595a(13) =495a(14) =-1520a(15) =-4810a(16) =-2485a(17) =15675a(18) =39560a(19) =6290a(20) =-159105a(21) =-324805a(22) =87075a(23) =1592843a(24) =2616757a(25) =-2136539a(26) =-15726114a(27) =-20247800a(28) =32296693a(29) =152909577